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Finding the Fourth Proportional to 3,012.96, 4,517.28 and 1,162.53

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Solution

The fourth proportional to 3,012.96, 4,517.28 and 1,162.53 is: 1,742.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.96 : 4,517.28 = 1,162.53 : x
  2. Step 2: Convert to fraction form
    3,012.96/4,517.28 = 1,162.53/x
  3. Step 3: Cross multiply
    3,012.96x = 4,517.28 × 1,162.53
  4. Step 4: Simplify right side
    3,012.96x = 5,251,473.52
  5. Step 5: Solve for x
    x = 5,251,473.52/3,012.96
  6. Step 6: Final answer
    x = 1,742.96

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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.