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Finding the Fourth Proportional to 2,462.29, 3,398.04 and 1,400.03

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Solution

The fourth proportional to 2,462.29, 3,398.04 and 1,400.03 is: 1,932.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.29 : 3,398.04 = 1,400.03 : x
  2. Step 2: Convert to fraction form
    2,462.29/3,398.04 = 1,400.03/x
  3. Step 3: Cross multiply
    2,462.29x = 3,398.04 × 1,400.03
  4. Step 4: Simplify right side
    2,462.29x = 4,757,350.94
  5. Step 5: Solve for x
    x = 4,757,350.94/2,462.29
  6. Step 6: Final answer
    x = 1,932.09

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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.