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Finding the Fourth Proportional to 2,095.20, 3,142.17 and 862.38

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Solution

The fourth proportional to 2,095.20, 3,142.17 and 862.38 is: 1,293.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.20 : 3,142.17 = 862.38 : x
  2. Step 2: Convert to fraction form
    2,095.20/3,142.17 = 862.38/x
  3. Step 3: Cross multiply
    2,095.20x = 3,142.17 × 862.38
  4. Step 4: Simplify right side
    2,095.20x = 2,709,744.56
  5. Step 5: Solve for x
    x = 2,709,744.56/2,095.20
  6. Step 6: Final answer
    x = 1,293.31

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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.