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Finding the Fourth Proportional to 2,491.83, 3,432.87 and 1,744.47

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Solution

The fourth proportional to 2,491.83, 3,432.87 and 1,744.47 is: 2,403.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.83 : 3,432.87 = 1,744.47 : x
  2. Step 2: Convert to fraction form
    2,491.83/3,432.87 = 1,744.47/x
  3. Step 3: Cross multiply
    2,491.83x = 3,432.87 × 1,744.47
  4. Step 4: Simplify right side
    2,491.83x = 5,988,538.73
  5. Step 5: Solve for x
    x = 5,988,538.73/2,491.83
  6. Step 6: Final answer
    x = 2,403.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.