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Finding the Fourth Proportional to 2,478.60, 3,421.17 and 1,732.74

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Solution

The fourth proportional to 2,478.60, 3,421.17 and 1,732.74 is: 2,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.60 : 3,421.17 = 1,732.74 : x
  2. Step 2: Convert to fraction form
    2,478.60/3,421.17 = 1,732.74/x
  3. Step 3: Cross multiply
    2,478.60x = 3,421.17 × 1,732.74
  4. Step 4: Simplify right side
    2,478.60x = 5,928,011.83
  5. Step 5: Solve for x
    x = 5,928,011.83/2,478.60
  6. Step 6: Final answer
    x = 2,391.68

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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.