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Finding the Fourth Proportional to 2,799.71, 3,863.69 and 1,540.85

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Solution

The fourth proportional to 2,799.71, 3,863.69 and 1,540.85 is: 2,126.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.71 : 3,863.69 = 1,540.85 : x
  2. Step 2: Convert to fraction form
    2,799.71/3,863.69 = 1,540.85/x
  3. Step 3: Cross multiply
    2,799.71x = 3,863.69 × 1,540.85
  4. Step 4: Simplify right side
    2,799.71x = 5,953,368.69
  5. Step 5: Solve for x
    x = 5,953,368.69/2,799.71
  6. Step 6: Final answer
    x = 2,126.43

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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.