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Finding the Fourth Proportional to 2,463.05, 3,399.10 and 1,344.05

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Solution

The fourth proportional to 2,463.05, 3,399.10 and 1,344.05 is: 1,854.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.05 : 3,399.10 = 1,344.05 : x
  2. Step 2: Convert to fraction form
    2,463.05/3,399.10 = 1,344.05/x
  3. Step 3: Cross multiply
    2,463.05x = 3,399.10 × 1,344.05
  4. Step 4: Simplify right side
    2,463.05x = 4,568,565.49
  5. Step 5: Solve for x
    x = 4,568,565.49/2,463.05
  6. Step 6: Final answer
    x = 1,854.84

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Why These Related Problems?

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