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Finding the Fourth Proportional to 2,327.76, 3,193.07 and 2,279.16

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Solution

The fourth proportional to 2,327.76, 3,193.07 and 2,279.16 is: 3,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.76 : 3,193.07 = 2,279.16 : x
  2. Step 2: Convert to fraction form
    2,327.76/3,193.07 = 2,279.16/x
  3. Step 3: Cross multiply
    2,327.76x = 3,193.07 × 2,279.16
  4. Step 4: Simplify right side
    2,327.76x = 7,277,506.03
  5. Step 5: Solve for x
    x = 7,277,506.03/2,327.76
  6. Step 6: Final answer
    x = 3,126.40

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.