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Finding the Fourth Proportional to 2,509.17, 3,761.65 and 1,049.41

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Solution

The fourth proportional to 2,509.17, 3,761.65 and 1,049.41 is: 1,573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.17 : 3,761.65 = 1,049.41 : x
  2. Step 2: Convert to fraction form
    2,509.17/3,761.65 = 1,049.41/x
  3. Step 3: Cross multiply
    2,509.17x = 3,761.65 × 1,049.41
  4. Step 4: Simplify right side
    2,509.17x = 3,947,513.13
  5. Step 5: Solve for x
    x = 3,947,513.13/2,509.17
  6. Step 6: Final answer
    x = 1,573.23

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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.