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Finding the Fourth Proportional to 1,654.34, 2,481.87 and 500.06

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Solution

The fourth proportional to 1,654.34, 2,481.87 and 500.06 is: 750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.34 : 2,481.87 = 500.06 : x
  2. Step 2: Convert to fraction form
    1,654.34/2,481.87 = 500.06/x
  3. Step 3: Cross multiply
    1,654.34x = 2,481.87 × 500.06
  4. Step 4: Simplify right side
    1,654.34x = 1,241,083.91
  5. Step 5: Solve for x
    x = 1,241,083.91/1,654.34
  6. Step 6: Final answer
    x = 750.20

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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.