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Finding the Fourth Proportional to 3,202.60, 4,799.03 and 2,377

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Solution

The fourth proportional to 3,202.60, 4,799.03 and 2,377 is: 3,561.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.60 : 4,799.03 = 2,377 : x
  2. Step 2: Convert to fraction form
    3,202.60/4,799.03 = 2,377/x
  3. Step 3: Cross multiply
    3,202.60x = 4,799.03 × 2,377
  4. Step 4: Simplify right side
    3,202.60x = 11,407,294.31
  5. Step 5: Solve for x
    x = 11,407,294.31/3,202.60
  6. Step 6: Final answer
    x = 3,561.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.