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Finding the Fourth Proportional to 2,524.42, 3,786.36 and 880.66

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Solution

The fourth proportional to 2,524.42, 3,786.36 and 880.66 is: 1,320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.42 : 3,786.36 = 880.66 : x
  2. Step 2: Convert to fraction form
    2,524.42/3,786.36 = 880.66/x
  3. Step 3: Cross multiply
    2,524.42x = 3,786.36 × 880.66
  4. Step 4: Simplify right side
    2,524.42x = 3,334,495.80
  5. Step 5: Solve for x
    x = 3,334,495.80/2,524.42
  6. Step 6: Final answer
    x = 1,320.90

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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.