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Finding the Fourth Proportional to 3,552.66, 4,902.63 and 1,980.75

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Solution

The fourth proportional to 3,552.66, 4,902.63 and 1,980.75 is: 2,733.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,552.66 : 4,902.63 = 1,980.75 : x
  2. Step 2: Convert to fraction form
    3,552.66/4,902.63 = 1,980.75/x
  3. Step 3: Cross multiply
    3,552.66x = 4,902.63 × 1,980.75
  4. Step 4: Simplify right side
    3,552.66x = 9,710,895.33
  5. Step 5: Solve for x
    x = 9,710,895.33/3,552.66
  6. Step 6: Final answer
    x = 2,733.42

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.