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Finding the Fourth Proportional to 3,202.49, 4,419.78 and 1,877.30

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Solution

The fourth proportional to 3,202.49, 4,419.78 and 1,877.30 is: 2,590.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.49 : 4,419.78 = 1,877.30 : x
  2. Step 2: Convert to fraction form
    3,202.49/4,419.78 = 1,877.30/x
  3. Step 3: Cross multiply
    3,202.49x = 4,419.78 × 1,877.30
  4. Step 4: Simplify right side
    3,202.49x = 8,297,252.99
  5. Step 5: Solve for x
    x = 8,297,252.99/3,202.49
  6. Step 6: Final answer
    x = 2,590.88

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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.