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Finding the Fourth Proportional to 2,719.44, 3,752.86 and 1,540.48

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Solution

The fourth proportional to 2,719.44, 3,752.86 and 1,540.48 is: 2,125.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.44 : 3,752.86 = 1,540.48 : x
  2. Step 2: Convert to fraction form
    2,719.44/3,752.86 = 1,540.48/x
  3. Step 3: Cross multiply
    2,719.44x = 3,752.86 × 1,540.48
  4. Step 4: Simplify right side
    2,719.44x = 5,781,205.77
  5. Step 5: Solve for x
    x = 5,781,205.77/2,719.44
  6. Step 6: Final answer
    x = 2,125.88

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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.