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Finding the Fourth Proportional to 2,462.81, 3,398.65 and 1,343.77

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Solution

The fourth proportional to 2,462.81, 3,398.65 and 1,343.77 is: 1,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.81 : 3,398.65 = 1,343.77 : x
  2. Step 2: Convert to fraction form
    2,462.81/3,398.65 = 1,343.77/x
  3. Step 3: Cross multiply
    2,462.81x = 3,398.65 × 1,343.77
  4. Step 4: Simplify right side
    2,462.81x = 4,566,990.23
  5. Step 5: Solve for x
    x = 4,566,990.23/2,462.81
  6. Step 6: Final answer
    x = 1,854.38

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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.