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Finding the Fourth Proportional to 2,761.74, 4,141.80 and 1,529.76

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Solution

The fourth proportional to 2,761.74, 4,141.80 and 1,529.76 is: 2,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.74 : 4,141.80 = 1,529.76 : x
  2. Step 2: Convert to fraction form
    2,761.74/4,141.80 = 1,529.76/x
  3. Step 3: Cross multiply
    2,761.74x = 4,141.80 × 1,529.76
  4. Step 4: Simplify right side
    2,761.74x = 6,335,959.97
  5. Step 5: Solve for x
    x = 6,335,959.97/2,761.74
  6. Step 6: Final answer
    x = 2,294.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.