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Finding the Fourth Proportional to 2,862.80, 4,294.19 and 1,013.47

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Solution

The fourth proportional to 2,862.80, 4,294.19 and 1,013.47 is: 1,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.80 : 4,294.19 = 1,013.47 : x
  2. Step 2: Convert to fraction form
    2,862.80/4,294.19 = 1,013.47/x
  3. Step 3: Cross multiply
    2,862.80x = 4,294.19 × 1,013.47
  4. Step 4: Simplify right side
    2,862.80x = 4,352,024.54
  5. Step 5: Solve for x
    x = 4,352,024.54/2,862.80
  6. Step 6: Final answer
    x = 1,520.20

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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.