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Finding the Fourth Proportional to 2,725.92, 4,089.29 and 876.56

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Solution

The fourth proportional to 2,725.92, 4,089.29 and 876.56 is: 1,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.92 : 4,089.29 = 876.56 : x
  2. Step 2: Convert to fraction form
    2,725.92/4,089.29 = 876.56/x
  3. Step 3: Cross multiply
    2,725.92x = 4,089.29 × 876.56
  4. Step 4: Simplify right side
    2,725.92x = 3,584,483.21
  5. Step 5: Solve for x
    x = 3,584,483.21/2,725.92
  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.