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Finding the Fourth Proportional to 3,147.85, 4,342.12 and 2,264.85

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Solution

The fourth proportional to 3,147.85, 4,342.12 and 2,264.85 is: 3,124.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.85 : 4,342.12 = 2,264.85 : x
  2. Step 2: Convert to fraction form
    3,147.85/4,342.12 = 2,264.85/x
  3. Step 3: Cross multiply
    3,147.85x = 4,342.12 × 2,264.85
  4. Step 4: Simplify right side
    3,147.85x = 9,834,250.48
  5. Step 5: Solve for x
    x = 9,834,250.48/3,147.85
  6. Step 6: Final answer
    x = 3,124.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.