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Finding the Fourth Proportional to 2,462.28, 3,693.84 and 1,229.46

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Solution

The fourth proportional to 2,462.28, 3,693.84 and 1,229.46 is: 1,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.28 : 3,693.84 = 1,229.46 : x
  2. Step 2: Convert to fraction form
    2,462.28/3,693.84 = 1,229.46/x
  3. Step 3: Cross multiply
    2,462.28x = 3,693.84 × 1,229.46
  4. Step 4: Simplify right side
    2,462.28x = 4,541,428.53
  5. Step 5: Solve for x
    x = 4,541,428.53/2,462.28
  6. Step 6: Final answer
    x = 1,844.40

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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.