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Finding the Fourth Proportional to 2,732.35, 4,098.53 and 1,171.34

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Solution

The fourth proportional to 2,732.35, 4,098.53 and 1,171.34 is: 1,757.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.35 : 4,098.53 = 1,171.34 : x
  2. Step 2: Convert to fraction form
    2,732.35/4,098.53 = 1,171.34/x
  3. Step 3: Cross multiply
    2,732.35x = 4,098.53 × 1,171.34
  4. Step 4: Simplify right side
    2,732.35x = 4,800,776.52
  5. Step 5: Solve for x
    x = 4,800,776.52/2,732.35
  6. Step 6: Final answer
    x = 1,757.02

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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.