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Finding the Fourth Proportional to 2,121.59, 3,182.22 and 951.66

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Solution

The fourth proportional to 2,121.59, 3,182.22 and 951.66 is: 1,427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.59 : 3,182.22 = 951.66 : x
  2. Step 2: Convert to fraction form
    2,121.59/3,182.22 = 951.66/x
  3. Step 3: Cross multiply
    2,121.59x = 3,182.22 × 951.66
  4. Step 4: Simplify right side
    2,121.59x = 3,028,391.49
  5. Step 5: Solve for x
    x = 3,028,391.49/2,121.59
  6. Step 6: Final answer
    x = 1,427.41

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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.