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Finding the Fourth Proportional to 1,654.14, 2,481.20 and 499.89

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Solution

The fourth proportional to 1,654.14, 2,481.20 and 499.89 is: 749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.14 : 2,481.20 = 499.89 : x
  2. Step 2: Convert to fraction form
    1,654.14/2,481.20 = 499.89/x
  3. Step 3: Cross multiply
    1,654.14x = 2,481.20 × 499.89
  4. Step 4: Simplify right side
    1,654.14x = 1,240,324.57
  5. Step 5: Solve for x
    x = 1,240,324.57/1,654.14
  6. Step 6: Final answer
    x = 749.83

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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.