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Finding the Fourth Proportional to 2,327.80, 3,475.16 and 2,230.60

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Solution

The fourth proportional to 2,327.80, 3,475.16 and 2,230.60 is: 3,330.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.80 : 3,475.16 = 2,230.60 : x
  2. Step 2: Convert to fraction form
    2,327.80/3,475.16 = 2,230.60/x
  3. Step 3: Cross multiply
    2,327.80x = 3,475.16 × 2,230.60
  4. Step 4: Simplify right side
    2,327.80x = 7,751,691.90
  5. Step 5: Solve for x
    x = 7,751,691.90/2,327.80
  6. Step 6: Final answer
    x = 3,330.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.