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Finding the Fourth Proportional to 1,562.17, 2,341.89 and 832.27

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Solution

The fourth proportional to 1,562.17, 2,341.89 and 832.27 is: 1,247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.17 : 2,341.89 = 832.27 : x
  2. Step 2: Convert to fraction form
    1,562.17/2,341.89 = 832.27/x
  3. Step 3: Cross multiply
    1,562.17x = 2,341.89 × 832.27
  4. Step 4: Simplify right side
    1,562.17x = 1,949,084.79
  5. Step 5: Solve for x
    x = 1,949,084.79/1,562.17
  6. Step 6: Final answer
    x = 1,247.68

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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.