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Finding the Fourth Proportional to 2,501.94, 3,754.17 and 1,517.10

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Solution

The fourth proportional to 2,501.94, 3,754.17 and 1,517.10 is: 2,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.94 : 3,754.17 = 1,517.10 : x
  2. Step 2: Convert to fraction form
    2,501.94/3,754.17 = 1,517.10/x
  3. Step 3: Cross multiply
    2,501.94x = 3,754.17 × 1,517.10
  4. Step 4: Simplify right side
    2,501.94x = 5,695,451.31
  5. Step 5: Solve for x
    x = 5,695,451.31/2,501.94
  6. Step 6: Final answer
    x = 2,276.41

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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.