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Finding the Fourth Proportional to 2,641.97, 3,961.62 and 886.34

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Solution

The fourth proportional to 2,641.97, 3,961.62 and 886.34 is: 1,329.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.97 : 3,961.62 = 886.34 : x
  2. Step 2: Convert to fraction form
    2,641.97/3,961.62 = 886.34/x
  3. Step 3: Cross multiply
    2,641.97x = 3,961.62 × 886.34
  4. Step 4: Simplify right side
    2,641.97x = 3,511,322.46
  5. Step 5: Solve for x
    x = 3,511,322.46/2,641.97
  6. Step 6: Final answer
    x = 1,329.06

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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.