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Finding the Fourth Proportional to 2,039.16, 3,057.97 and 868.43

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Solution

The fourth proportional to 2,039.16, 3,057.97 and 868.43 is: 1,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.16 : 3,057.97 = 868.43 : x
  2. Step 2: Convert to fraction form
    2,039.16/3,057.97 = 868.43/x
  3. Step 3: Cross multiply
    2,039.16x = 3,057.97 × 868.43
  4. Step 4: Simplify right side
    2,039.16x = 2,655,632.89
  5. Step 5: Solve for x
    x = 2,655,632.89/2,039.16
  6. Step 6: Final answer
    x = 1,302.32

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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.