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Finding the Fourth Proportional to 1,432.14, 2,148.37 and 876.58

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Solution

The fourth proportional to 1,432.14, 2,148.37 and 876.58 is: 1,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.14 : 2,148.37 = 876.58 : x
  2. Step 2: Convert to fraction form
    1,432.14/2,148.37 = 876.58/x
  3. Step 3: Cross multiply
    1,432.14x = 2,148.37 × 876.58
  4. Step 4: Simplify right side
    1,432.14x = 1,883,210.61
  5. Step 5: Solve for x
    x = 1,883,210.61/1,432.14
  6. Step 6: Final answer
    x = 1,314.96

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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.