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Finding the Fourth Proportional to 2,641.56, 3,961.88 and 886.38

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Solution

The fourth proportional to 2,641.56, 3,961.88 and 886.38 is: 1,329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.56 : 3,961.88 = 886.38 : x
  2. Step 2: Convert to fraction form
    2,641.56/3,961.88 = 886.38/x
  3. Step 3: Cross multiply
    2,641.56x = 3,961.88 × 886.38
  4. Step 4: Simplify right side
    2,641.56x = 3,511,731.19
  5. Step 5: Solve for x
    x = 3,511,731.19/2,641.56
  6. Step 6: Final answer
    x = 1,329.42

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1.5x scale

Why These Related Problems?

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