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Finding the Fourth Proportional to 2,474.35, 3,414.77 and 1,412.17

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Solution

The fourth proportional to 2,474.35, 3,414.77 and 1,412.17 is: 1,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.35 : 3,414.77 = 1,412.17 : x
  2. Step 2: Convert to fraction form
    2,474.35/3,414.77 = 1,412.17/x
  3. Step 3: Cross multiply
    2,474.35x = 3,414.77 × 1,412.17
  4. Step 4: Simplify right side
    2,474.35x = 4,822,235.75
  5. Step 5: Solve for x
    x = 4,822,235.75/2,474.35
  6. Step 6: Final answer
    x = 1,948.89

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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.