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Finding the Fourth Proportional to 2,462.30, 3,398.07 and 1,343.30

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Solution

The fourth proportional to 2,462.30, 3,398.07 and 1,343.30 is: 1,853.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.30 : 3,398.07 = 1,343.30 : x
  2. Step 2: Convert to fraction form
    2,462.30/3,398.07 = 1,343.30/x
  3. Step 3: Cross multiply
    2,462.30x = 3,398.07 × 1,343.30
  4. Step 4: Simplify right side
    2,462.30x = 4,564,633.35
  5. Step 5: Solve for x
    x = 4,564,633.35/2,462.30
  6. Step 6: Final answer
    x = 1,853.81

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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.