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Finding the Fourth Proportional to 2,154.97, 3,232.31 and 595.22

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Solution

The fourth proportional to 2,154.97, 3,232.31 and 595.22 is: 892.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.97 : 3,232.31 = 595.22 : x
  2. Step 2: Convert to fraction form
    2,154.97/3,232.31 = 595.22/x
  3. Step 3: Cross multiply
    2,154.97x = 3,232.31 × 595.22
  4. Step 4: Simplify right side
    2,154.97x = 1,923,916.42
  5. Step 5: Solve for x
    x = 1,923,916.42/2,154.97
  6. Step 6: Final answer
    x = 892.78

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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.