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Finding the Fourth Proportional to 2,243.66, 3,366.17 and 1,148.79

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Solution

The fourth proportional to 2,243.66, 3,366.17 and 1,148.79 is: 1,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.66 : 3,366.17 = 1,148.79 : x
  2. Step 2: Convert to fraction form
    2,243.66/3,366.17 = 1,148.79/x
  3. Step 3: Cross multiply
    2,243.66x = 3,366.17 × 1,148.79
  4. Step 4: Simplify right side
    2,243.66x = 3,867,016.69
  5. Step 5: Solve for x
    x = 3,867,016.69/2,243.66
  6. Step 6: Final answer
    x = 1,723.53

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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.