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Finding the Fourth Proportional to 2,524.35, 3,786.87 and 880.52

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Solution

The fourth proportional to 2,524.35, 3,786.87 and 880.52 is: 1,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.35 : 3,786.87 = 880.52 : x
  2. Step 2: Convert to fraction form
    2,524.35/3,786.87 = 880.52/x
  3. Step 3: Cross multiply
    2,524.35x = 3,786.87 × 880.52
  4. Step 4: Simplify right side
    2,524.35x = 3,334,399.14
  5. Step 5: Solve for x
    x = 3,334,399.14/2,524.35
  6. Step 6: Final answer
    x = 1,320.89

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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.