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Finding the Fourth Proportional to 2,523.67, 3,786.18 and 880.22

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Solution

The fourth proportional to 2,523.67, 3,786.18 and 880.22 is: 1,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.67 : 3,786.18 = 880.22 : x
  2. Step 2: Convert to fraction form
    2,523.67/3,786.18 = 880.22/x
  3. Step 3: Cross multiply
    2,523.67x = 3,786.18 × 880.22
  4. Step 4: Simplify right side
    2,523.67x = 3,332,656.23
  5. Step 5: Solve for x
    x = 3,332,656.23/2,523.67
  6. Step 6: Final answer
    x = 1,320.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.