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Finding the Fourth Proportional to 2,463.76, 3,399.98 and 1,344.70

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Solution

The fourth proportional to 2,463.76, 3,399.98 and 1,344.70 is: 1,855.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.76 : 3,399.98 = 1,344.70 : x
  2. Step 2: Convert to fraction form
    2,463.76/3,399.98 = 1,344.70/x
  3. Step 3: Cross multiply
    2,463.76x = 3,399.98 × 1,344.70
  4. Step 4: Simplify right side
    2,463.76x = 4,571,959.05
  5. Step 5: Solve for x
    x = 4,571,959.05/2,463.76
  6. Step 6: Final answer
    x = 1,855.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.