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Finding the Fourth Proportional to 1,948.19, 2,922.28 and 974.97

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Solution

The fourth proportional to 1,948.19, 2,922.28 and 974.97 is: 1,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.19 : 2,922.28 = 974.97 : x
  2. Step 2: Convert to fraction form
    1,948.19/2,922.28 = 974.97/x
  3. Step 3: Cross multiply
    1,948.19x = 2,922.28 × 974.97
  4. Step 4: Simplify right side
    1,948.19x = 2,849,132.89
  5. Step 5: Solve for x
    x = 2,849,132.89/1,948.19
  6. Step 6: Final answer
    x = 1,462.46

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.