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Finding the Fourth Proportional to 2,038.55, 3,057.17 and 868.53

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Solution

The fourth proportional to 2,038.55, 3,057.17 and 868.53 is: 1,302.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.55 : 3,057.17 = 868.53 : x
  2. Step 2: Convert to fraction form
    2,038.55/3,057.17 = 868.53/x
  3. Step 3: Cross multiply
    2,038.55x = 3,057.17 × 868.53
  4. Step 4: Simplify right side
    2,038.55x = 2,655,239.52
  5. Step 5: Solve for x
    x = 2,655,239.52/2,038.55
  6. Step 6: Final answer
    x = 1,302.52

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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.