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Finding the Fourth Proportional to 2,523.78, 3,785.85 and 880.38

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Solution

The fourth proportional to 2,523.78, 3,785.85 and 880.38 is: 1,320.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.78 : 3,785.85 = 880.38 : x
  2. Step 2: Convert to fraction form
    2,523.78/3,785.85 = 880.38/x
  3. Step 3: Cross multiply
    2,523.78x = 3,785.85 × 880.38
  4. Step 4: Simplify right side
    2,523.78x = 3,332,986.62
  5. Step 5: Solve for x
    x = 3,332,986.62/2,523.78
  6. Step 6: Final answer
    x = 1,320.63

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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.