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Finding the Fourth Proportional to 2,121.48, 3,182.16 and 965.88

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Solution

The fourth proportional to 2,121.48, 3,182.16 and 965.88 is: 1,448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.48 : 3,182.16 = 965.88 : x
  2. Step 2: Convert to fraction form
    2,121.48/3,182.16 = 965.88/x
  3. Step 3: Cross multiply
    2,121.48x = 3,182.16 × 965.88
  4. Step 4: Simplify right side
    2,121.48x = 3,073,584.70
  5. Step 5: Solve for x
    x = 3,073,584.70/2,121.48
  6. Step 6: Final answer
    x = 1,448.79

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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.