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Finding the Fourth Proportional to 1,761.35, 2,427.84 and 1,387.71

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Solution

The fourth proportional to 1,761.35, 2,427.84 and 1,387.71 is: 1,912.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.35 : 2,427.84 = 1,387.71 : x
  2. Step 2: Convert to fraction form
    1,761.35/2,427.84 = 1,387.71/x
  3. Step 3: Cross multiply
    1,761.35x = 2,427.84 × 1,387.71
  4. Step 4: Simplify right side
    1,761.35x = 3,369,137.85
  5. Step 5: Solve for x
    x = 3,369,137.85/1,761.35
  6. Step 6: Final answer
    x = 1,912.82

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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.