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Finding the Fourth Proportional to 4,732.56, 7,099.80 and 1,654.16

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Solution

The fourth proportional to 4,732.56, 7,099.80 and 1,654.16 is: 2,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.56 : 7,099.80 = 1,654.16 : x
  2. Step 2: Convert to fraction form
    4,732.56/7,099.80 = 1,654.16/x
  3. Step 3: Cross multiply
    4,732.56x = 7,099.80 × 1,654.16
  4. Step 4: Simplify right side
    4,732.56x = 11,744,205.17
  5. Step 5: Solve for x
    x = 11,744,205.17/4,732.56
  6. Step 6: Final answer
    x = 2,481.58

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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.