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Finding the Fourth Proportional to 1,654.13, 2,481.06 and 484.04

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Solution

The fourth proportional to 1,654.13, 2,481.06 and 484.04 is: 726.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.13 : 2,481.06 = 484.04 : x
  2. Step 2: Convert to fraction form
    1,654.13/2,481.06 = 484.04/x
  3. Step 3: Cross multiply
    1,654.13x = 2,481.06 × 484.04
  4. Step 4: Simplify right side
    1,654.13x = 1,200,932.28
  5. Step 5: Solve for x
    x = 1,200,932.28/1,654.13
  6. Step 6: Final answer
    x = 726.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.