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Finding the Fourth Proportional to 2,725.20, 4,088.31 and 876.33

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Solution

The fourth proportional to 2,725.20, 4,088.31 and 876.33 is: 1,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.20 : 4,088.31 = 876.33 : x
  2. Step 2: Convert to fraction form
    2,725.20/4,088.31 = 876.33/x
  3. Step 3: Cross multiply
    2,725.20x = 4,088.31 × 876.33
  4. Step 4: Simplify right side
    2,725.20x = 3,582,708.70
  5. Step 5: Solve for x
    x = 3,582,708.70/2,725.20
  6. Step 6: Final answer
    x = 1,314.66

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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.