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Finding the Fourth Proportional to 2,766.06, 4,149.36 and 917.10

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Solution

The fourth proportional to 2,766.06, 4,149.36 and 917.10 is: 1,375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.06 : 4,149.36 = 917.10 : x
  2. Step 2: Convert to fraction form
    2,766.06/4,149.36 = 917.10/x
  3. Step 3: Cross multiply
    2,766.06x = 4,149.36 × 917.10
  4. Step 4: Simplify right side
    2,766.06x = 3,805,378.06
  5. Step 5: Solve for x
    x = 3,805,378.06/2,766.06
  6. Step 6: Final answer
    x = 1,375.74

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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.