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Finding the Fourth Proportional to 3,202.86, 4,419.91 and 2,024.90

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Solution

The fourth proportional to 3,202.86, 4,419.91 and 2,024.90 is: 2,794.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.86 : 4,419.91 = 2,024.90 : x
  2. Step 2: Convert to fraction form
    3,202.86/4,419.91 = 2,024.90/x
  3. Step 3: Cross multiply
    3,202.86x = 4,419.91 × 2,024.90
  4. Step 4: Simplify right side
    3,202.86x = 8,949,848.60
  5. Step 5: Solve for x
    x = 8,949,848.60/3,202.86
  6. Step 6: Final answer
    x = 2,794.33

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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.