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Finding the Fourth Proportional to 2,732.59, 4,098.01 and 1,172.18

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Solution

The fourth proportional to 2,732.59, 4,098.01 and 1,172.18 is: 1,757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.59 : 4,098.01 = 1,172.18 : x
  2. Step 2: Convert to fraction form
    2,732.59/4,098.01 = 1,172.18/x
  3. Step 3: Cross multiply
    2,732.59x = 4,098.01 × 1,172.18
  4. Step 4: Simplify right side
    2,732.59x = 4,803,594.40
  5. Step 5: Solve for x
    x = 4,803,594.40/2,732.59
  6. Step 6: Final answer
    x = 1,757.89

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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.