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Finding the Fourth Proportional to 2,169.41, 2,994.25 and 1,414.13

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Solution

The fourth proportional to 2,169.41, 2,994.25 and 1,414.13 is: 1,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.41 : 2,994.25 = 1,414.13 : x
  2. Step 2: Convert to fraction form
    2,169.41/2,994.25 = 1,414.13/x
  3. Step 3: Cross multiply
    2,169.41x = 2,994.25 × 1,414.13
  4. Step 4: Simplify right side
    2,169.41x = 4,234,251.68
  5. Step 5: Solve for x
    x = 4,234,251.68/2,169.41
  6. Step 6: Final answer
    x = 1,951.80

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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.