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Finding the Fourth Proportional to 3,140.76, 4,332.33 and 2,257.76

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Solution

The fourth proportional to 3,140.76, 4,332.33 and 2,257.76 is: 3,114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.76 : 4,332.33 = 2,257.76 : x
  2. Step 2: Convert to fraction form
    3,140.76/4,332.33 = 2,257.76/x
  3. Step 3: Cross multiply
    3,140.76x = 4,332.33 × 2,257.76
  4. Step 4: Simplify right side
    3,140.76x = 9,781,361.38
  5. Step 5: Solve for x
    x = 9,781,361.38/3,140.76
  6. Step 6: Final answer
    x = 3,114.33

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Why These Related Problems?

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