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Finding the Fourth Proportional to 2,327.64, 3,212.34 and 1,279.92

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Solution

The fourth proportional to 2,327.64, 3,212.34 and 1,279.92 is: 1,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.64 : 3,212.34 = 1,279.92 : x
  2. Step 2: Convert to fraction form
    2,327.64/3,212.34 = 1,279.92/x
  3. Step 3: Cross multiply
    2,327.64x = 3,212.34 × 1,279.92
  4. Step 4: Simplify right side
    2,327.64x = 4,111,538.21
  5. Step 5: Solve for x
    x = 4,111,538.21/2,327.64
  6. Step 6: Final answer
    x = 1,766.40

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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.