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Finding the Fourth Proportional to 2,901.87, 4,342.02 and 1,732.53

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Solution

The fourth proportional to 2,901.87, 4,342.02 and 1,732.53 is: 2,592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.87 : 4,342.02 = 1,732.53 : x
  2. Step 2: Convert to fraction form
    2,901.87/4,342.02 = 1,732.53/x
  3. Step 3: Cross multiply
    2,901.87x = 4,342.02 × 1,732.53
  4. Step 4: Simplify right side
    2,901.87x = 7,522,679.91
  5. Step 5: Solve for x
    x = 7,522,679.91/2,901.87
  6. Step 6: Final answer
    x = 2,592.36

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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.