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Finding the Fourth Proportional to 3,202.78, 4,419.70 and 2,363.19

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Solution

The fourth proportional to 3,202.78, 4,419.70 and 2,363.19 is: 3,261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.78 : 4,419.70 = 2,363.19 : x
  2. Step 2: Convert to fraction form
    3,202.78/4,419.70 = 2,363.19/x
  3. Step 3: Cross multiply
    3,202.78x = 4,419.70 × 2,363.19
  4. Step 4: Simplify right side
    3,202.78x = 10,444,590.84
  5. Step 5: Solve for x
    x = 10,444,590.84/3,202.78
  6. Step 6: Final answer
    x = 3,261.10

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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.