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Finding the Fourth Proportional to 2,540.52, 3,809.24 and 1,057.95

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Solution

The fourth proportional to 2,540.52, 3,809.24 and 1,057.95 is: 1,586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.52 : 3,809.24 = 1,057.95 : x
  2. Step 2: Convert to fraction form
    2,540.52/3,809.24 = 1,057.95/x
  3. Step 3: Cross multiply
    2,540.52x = 3,809.24 × 1,057.95
  4. Step 4: Simplify right side
    2,540.52x = 4,029,980.17
  5. Step 5: Solve for x
    x = 4,029,980.17/2,540.52
  6. Step 6: Final answer
    x = 1,586.28

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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.