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Finding the Fourth Proportional to 2,454.11, 3,681.34 and 811.82

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Solution

The fourth proportional to 2,454.11, 3,681.34 and 811.82 is: 1,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.11 : 3,681.34 = 811.82 : x
  2. Step 2: Convert to fraction form
    2,454.11/3,681.34 = 811.82/x
  3. Step 3: Cross multiply
    2,454.11x = 3,681.34 × 811.82
  4. Step 4: Simplify right side
    2,454.11x = 2,988,565.00
  5. Step 5: Solve for x
    x = 2,988,565.00/2,454.11
  6. Step 6: Final answer
    x = 1,217.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.