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Finding the Fourth Proportional to 1,517.18, 2,275.88 and 786.89

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Solution

The fourth proportional to 1,517.18, 2,275.88 and 786.89 is: 1,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.18 : 2,275.88 = 786.89 : x
  2. Step 2: Convert to fraction form
    1,517.18/2,275.88 = 786.89/x
  3. Step 3: Cross multiply
    1,517.18x = 2,275.88 × 786.89
  4. Step 4: Simplify right side
    1,517.18x = 1,790,867.21
  5. Step 5: Solve for x
    x = 1,790,867.21/1,517.18
  6. Step 6: Final answer
    x = 1,180.39

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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.