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Finding the Fourth Proportional to 2,862.84, 4,294.92 and 1,131.47

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Solution

The fourth proportional to 2,862.84, 4,294.92 and 1,131.47 is: 1,697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.84 : 4,294.92 = 1,131.47 : x
  2. Step 2: Convert to fraction form
    2,862.84/4,294.92 = 1,131.47/x
  3. Step 3: Cross multiply
    2,862.84x = 4,294.92 × 1,131.47
  4. Step 4: Simplify right side
    2,862.84x = 4,859,572.01
  5. Step 5: Solve for x
    x = 4,859,572.01/2,862.84
  6. Step 6: Final answer
    x = 1,697.46

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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.