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Finding the Fourth Proportional to 1,323.60, 1,974.54 and 1,323.60

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Solution

The fourth proportional to 1,323.60, 1,974.54 and 1,323.60 is: 1,974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.60 : 1,974.54 = 1,323.60 : x
  2. Step 2: Convert to fraction form
    1,323.60/1,974.54 = 1,323.60/x
  3. Step 3: Cross multiply
    1,323.60x = 1,974.54 × 1,323.60
  4. Step 4: Simplify right side
    1,323.60x = 2,613,501.14
  5. Step 5: Solve for x
    x = 2,613,501.14/1,323.60
  6. Step 6: Final answer
    x = 1,974.54

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.