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Finding the Fourth Proportional to 2,523.69, 3,786.15 and 880.25

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Solution

The fourth proportional to 2,523.69, 3,786.15 and 880.25 is: 1,320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.69 : 3,786.15 = 880.25 : x
  2. Step 2: Convert to fraction form
    2,523.69/3,786.15 = 880.25/x
  3. Step 3: Cross multiply
    2,523.69x = 3,786.15 × 880.25
  4. Step 4: Simplify right side
    2,523.69x = 3,332,739.61
  5. Step 5: Solve for x
    x = 3,332,739.61/2,523.69
  6. Step 6: Final answer
    x = 1,320.58

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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.