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Finding the Fourth Proportional to 1,562.25, 2,344.13 and 831.84

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Solution

The fourth proportional to 1,562.25, 2,344.13 and 831.84 is: 1,248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.25 : 2,344.13 = 831.84 : x
  2. Step 2: Convert to fraction form
    1,562.25/2,344.13 = 831.84/x
  3. Step 3: Cross multiply
    1,562.25x = 2,344.13 × 831.84
  4. Step 4: Simplify right side
    1,562.25x = 1,949,936.94
  5. Step 5: Solve for x
    x = 1,949,936.94/1,562.25
  6. Step 6: Final answer
    x = 1,248.16

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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.