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Finding the Fourth Proportional to 1,842.46, 2,763.69 and 1,517.15

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Solution

The fourth proportional to 1,842.46, 2,763.69 and 1,517.15 is: 2,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.46 : 2,763.69 = 1,517.15 : x
  2. Step 2: Convert to fraction form
    1,842.46/2,763.69 = 1,517.15/x
  3. Step 3: Cross multiply
    1,842.46x = 2,763.69 × 1,517.15
  4. Step 4: Simplify right side
    1,842.46x = 4,192,918.47
  5. Step 5: Solve for x
    x = 4,192,918.47/1,842.46
  6. Step 6: Final answer
    x = 2,275.72

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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.