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Finding the Fourth Proportional to 1,115.76, 1,546.43 and 1,095.02

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Solution

The fourth proportional to 1,115.76, 1,546.43 and 1,095.02 is: 1,517.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.76 : 1,546.43 = 1,095.02 : x
  2. Step 2: Convert to fraction form
    1,115.76/1,546.43 = 1,095.02/x
  3. Step 3: Cross multiply
    1,115.76x = 1,546.43 × 1,095.02
  4. Step 4: Simplify right side
    1,115.76x = 1,693,373.61
  5. Step 5: Solve for x
    x = 1,693,373.61/1,115.76
  6. Step 6: Final answer
    x = 1,517.68

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.