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Finding the Fourth Proportional to 2,766.85, 4,150.28 and 918.11

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Solution

The fourth proportional to 2,766.85, 4,150.28 and 918.11 is: 1,377.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.85 : 4,150.28 = 918.11 : x
  2. Step 2: Convert to fraction form
    2,766.85/4,150.28 = 918.11/x
  3. Step 3: Cross multiply
    2,766.85x = 4,150.28 × 918.11
  4. Step 4: Simplify right side
    2,766.85x = 3,810,397.73
  5. Step 5: Solve for x
    x = 3,810,397.73/2,766.85
  6. Step 6: Final answer
    x = 1,377.16

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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.