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Finding the Fourth Proportional to 2,326.95, 3,211.22 and 1,279

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Solution

The fourth proportional to 2,326.95, 3,211.22 and 1,279 is: 1,765.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.95 : 3,211.22 = 1,279 : x
  2. Step 2: Convert to fraction form
    2,326.95/3,211.22 = 1,279/x
  3. Step 3: Cross multiply
    2,326.95x = 3,211.22 × 1,279
  4. Step 4: Simplify right side
    2,326.95x = 4,107,150.38
  5. Step 5: Solve for x
    x = 4,107,150.38/2,326.95
  6. Step 6: Final answer
    x = 1,765.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.