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Finding the Fourth Proportional to 2,470.52, 3,410.47 and 1,631.87

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Solution

The fourth proportional to 2,470.52, 3,410.47 and 1,631.87 is: 2,252.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.52 : 3,410.47 = 1,631.87 : x
  2. Step 2: Convert to fraction form
    2,470.52/3,410.47 = 1,631.87/x
  3. Step 3: Cross multiply
    2,470.52x = 3,410.47 × 1,631.87
  4. Step 4: Simplify right side
    2,470.52x = 5,565,443.68
  5. Step 5: Solve for x
    x = 5,565,443.68/2,470.52
  6. Step 6: Final answer
    x = 2,252.74

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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.