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Finding the Fourth Proportional to 2,523.72, 3,786.12 and 880.14

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Solution

The fourth proportional to 2,523.72, 3,786.12 and 880.14 is: 1,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.72 : 3,786.12 = 880.14 : x
  2. Step 2: Convert to fraction form
    2,523.72/3,786.12 = 880.14/x
  3. Step 3: Cross multiply
    2,523.72x = 3,786.12 × 880.14
  4. Step 4: Simplify right side
    2,523.72x = 3,332,315.66
  5. Step 5: Solve for x
    x = 3,332,315.66/2,523.72
  6. Step 6: Final answer
    x = 1,320.40

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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.