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Finding the Fourth Proportional to 2,799.30, 3,862.97 and 1,540.32

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Solution

The fourth proportional to 2,799.30, 3,862.97 and 1,540.32 is: 2,125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.30 : 3,862.97 = 1,540.32 : x
  2. Step 2: Convert to fraction form
    2,799.30/3,862.97 = 1,540.32/x
  3. Step 3: Cross multiply
    2,799.30x = 3,862.97 × 1,540.32
  4. Step 4: Simplify right side
    2,799.30x = 5,950,209.95
  5. Step 5: Solve for x
    x = 5,950,209.95/2,799.30
  6. Step 6: Final answer
    x = 2,125.61

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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.