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Finding the Fourth Proportional to 2,462.77, 3,398.46 and 1,414.75

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Solution

The fourth proportional to 2,462.77, 3,398.46 and 1,414.75 is: 1,952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.77 : 3,398.46 = 1,414.75 : x
  2. Step 2: Convert to fraction form
    2,462.77/3,398.46 = 1,414.75/x
  3. Step 3: Cross multiply
    2,462.77x = 3,398.46 × 1,414.75
  4. Step 4: Simplify right side
    2,462.77x = 4,807,971.29
  5. Step 5: Solve for x
    x = 4,807,971.29/2,462.77
  6. Step 6: Final answer
    x = 1,952.26

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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.