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Finding the Fourth Proportional to 2,000.88, 2,761 and 1,116.60

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Solution

The fourth proportional to 2,000.88, 2,761 and 1,116.60 is: 1,540.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.88 : 2,761 = 1,116.60 : x
  2. Step 2: Convert to fraction form
    2,000.88/2,761 = 1,116.60/x
  3. Step 3: Cross multiply
    2,000.88x = 2,761 × 1,116.60
  4. Step 4: Simplify right side
    2,000.88x = 3,082,932.60
  5. Step 5: Solve for x
    x = 3,082,932.60/2,000.88
  6. Step 6: Final answer
    x = 1,540.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.