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Finding the Fourth Proportional to 2,351.25, 3,523.21 and 889.61

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Solution

The fourth proportional to 2,351.25, 3,523.21 and 889.61 is: 1,333.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.25 : 3,523.21 = 889.61 : x
  2. Step 2: Convert to fraction form
    2,351.25/3,523.21 = 889.61/x
  3. Step 3: Cross multiply
    2,351.25x = 3,523.21 × 889.61
  4. Step 4: Simplify right side
    2,351.25x = 3,134,282.85
  5. Step 5: Solve for x
    x = 3,134,282.85/2,351.25
  6. Step 6: Final answer
    x = 1,333.03

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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.