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Finding the Fourth Proportional to 2,462.40, 3,694.41 and 1,366.47

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Solution

The fourth proportional to 2,462.40, 3,694.41 and 1,366.47 is: 2,050.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.40 : 3,694.41 = 1,366.47 : x
  2. Step 2: Convert to fraction form
    2,462.40/3,694.41 = 1,366.47/x
  3. Step 3: Cross multiply
    2,462.40x = 3,694.41 × 1,366.47
  4. Step 4: Simplify right side
    2,462.40x = 5,048,300.43
  5. Step 5: Solve for x
    x = 5,048,300.43/2,462.40
  6. Step 6: Final answer
    x = 2,050.15

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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.