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Finding the Fourth Proportional to 2,100.38, 3,151.17 and 867.15

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Solution

The fourth proportional to 2,100.38, 3,151.17 and 867.15 is: 1,300.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.38 : 3,151.17 = 867.15 : x
  2. Step 2: Convert to fraction form
    2,100.38/3,151.17 = 867.15/x
  3. Step 3: Cross multiply
    2,100.38x = 3,151.17 × 867.15
  4. Step 4: Simplify right side
    2,100.38x = 2,732,537.07
  5. Step 5: Solve for x
    x = 2,732,537.07/2,100.38
  6. Step 6: Final answer
    x = 1,300.98

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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.