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Finding the Fourth Proportional to 2,327.64, 3,212.28 and 1,279.80

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Solution

The fourth proportional to 2,327.64, 3,212.28 and 1,279.80 is: 1,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.64 : 3,212.28 = 1,279.80 : x
  2. Step 2: Convert to fraction form
    2,327.64/3,212.28 = 1,279.80/x
  3. Step 3: Cross multiply
    2,327.64x = 3,212.28 × 1,279.80
  4. Step 4: Simplify right side
    2,327.64x = 4,111,075.94
  5. Step 5: Solve for x
    x = 4,111,075.94/2,327.64
  6. Step 6: Final answer
    x = 1,766.20

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