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Finding the Fourth Proportional to 2,865.11, 4,297.84 and 917.17

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Solution

The fourth proportional to 2,865.11, 4,297.84 and 917.17 is: 1,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.11 : 4,297.84 = 917.17 : x
  2. Step 2: Convert to fraction form
    2,865.11/4,297.84 = 917.17/x
  3. Step 3: Cross multiply
    2,865.11x = 4,297.84 × 917.17
  4. Step 4: Simplify right side
    2,865.11x = 3,941,836.88
  5. Step 5: Solve for x
    x = 3,941,836.88/2,865.11
  6. Step 6: Final answer
    x = 1,375.81

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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.