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Finding the Fourth Proportional to 2,916.97, 4,375.44 and 725.68

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Solution

The fourth proportional to 2,916.97, 4,375.44 and 725.68 is: 1,088.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.97 : 4,375.44 = 725.68 : x
  2. Step 2: Convert to fraction form
    2,916.97/4,375.44 = 725.68/x
  3. Step 3: Cross multiply
    2,916.97x = 4,375.44 × 725.68
  4. Step 4: Simplify right side
    2,916.97x = 3,175,169.30
  5. Step 5: Solve for x
    x = 3,175,169.30/2,916.97
  6. Step 6: Final answer
    x = 1,088.52

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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.