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Finding the Fourth Proportional to 1,761.33, 2,427.84 and 1,387.74

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Solution

The fourth proportional to 1,761.33, 2,427.84 and 1,387.74 is: 1,912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.33 : 2,427.84 = 1,387.74 : x
  2. Step 2: Convert to fraction form
    1,761.33/2,427.84 = 1,387.74/x
  3. Step 3: Cross multiply
    1,761.33x = 2,427.84 × 1,387.74
  4. Step 4: Simplify right side
    1,761.33x = 3,369,210.68
  5. Step 5: Solve for x
    x = 3,369,210.68/1,761.33
  6. Step 6: Final answer
    x = 1,912.88

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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.