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Finding the Fourth Proportional to 2,330.40, 3,207.60 and 2,200.80

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Solution

The fourth proportional to 2,330.40, 3,207.60 and 2,200.80 is: 3,029.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.40 : 3,207.60 = 2,200.80 : x
  2. Step 2: Convert to fraction form
    2,330.40/3,207.60 = 2,200.80/x
  3. Step 3: Cross multiply
    2,330.40x = 3,207.60 × 2,200.80
  4. Step 4: Simplify right side
    2,330.40x = 7,059,286.08
  5. Step 5: Solve for x
    x = 7,059,286.08/2,330.40
  6. Step 6: Final answer
    x = 3,029.22

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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.