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Finding the Fourth Proportional to 2,100.38, 3,151.08 and 868.14

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Solution

The fourth proportional to 2,100.38, 3,151.08 and 868.14 is: 1,302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.38 : 3,151.08 = 868.14 : x
  2. Step 2: Convert to fraction form
    2,100.38/3,151.08 = 868.14/x
  3. Step 3: Cross multiply
    2,100.38x = 3,151.08 × 868.14
  4. Step 4: Simplify right side
    2,100.38x = 2,735,581.85
  5. Step 5: Solve for x
    x = 2,735,581.85/2,100.38
  6. Step 6: Final answer
    x = 1,302.43

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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.