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Finding the Fourth Proportional to 1,377.71, 2,064.37 and 1,237.84

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Solution

The fourth proportional to 1,377.71, 2,064.37 and 1,237.84 is: 1,854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.71 : 2,064.37 = 1,237.84 : x
  2. Step 2: Convert to fraction form
    1,377.71/2,064.37 = 1,237.84/x
  3. Step 3: Cross multiply
    1,377.71x = 2,064.37 × 1,237.84
  4. Step 4: Simplify right side
    1,377.71x = 2,555,353.83
  5. Step 5: Solve for x
    x = 2,555,353.83/1,377.71
  6. Step 6: Final answer
    x = 1,854.78

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