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Finding the Fourth Proportional to 3,202.55, 4,419.96 and 1,876.78

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Solution

The fourth proportional to 3,202.55, 4,419.96 and 1,876.78 is: 2,590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.55 : 4,419.96 = 1,876.78 : x
  2. Step 2: Convert to fraction form
    3,202.55/4,419.96 = 1,876.78/x
  3. Step 3: Cross multiply
    3,202.55x = 4,419.96 × 1,876.78
  4. Step 4: Simplify right side
    3,202.55x = 8,295,291.02
  5. Step 5: Solve for x
    x = 8,295,291.02/3,202.55
  6. Step 6: Final answer
    x = 2,590.22

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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.