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Finding the Fourth Proportional to 2,865.53, 4,297.07 and 917.48

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Solution

The fourth proportional to 2,865.53, 4,297.07 and 917.48 is: 1,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.53 : 4,297.07 = 917.48 : x
  2. Step 2: Convert to fraction form
    2,865.53/4,297.07 = 917.48/x
  3. Step 3: Cross multiply
    2,865.53x = 4,297.07 × 917.48
  4. Step 4: Simplify right side
    2,865.53x = 3,942,449.71
  5. Step 5: Solve for x
    x = 3,942,449.71/2,865.53
  6. Step 6: Final answer
    x = 1,375.82

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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.