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Finding the Fourth Proportional to 1,761.76, 2,643.56 and 1,278.80

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Solution

The fourth proportional to 1,761.76, 2,643.56 and 1,278.80 is: 1,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.76 : 2,643.56 = 1,278.80 : x
  2. Step 2: Convert to fraction form
    1,761.76/2,643.56 = 1,278.80/x
  3. Step 3: Cross multiply
    1,761.76x = 2,643.56 × 1,278.80
  4. Step 4: Simplify right side
    1,761.76x = 3,380,584.53
  5. Step 5: Solve for x
    x = 3,380,584.53/1,761.76
  6. Step 6: Final answer
    x = 1,918.87

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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.