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Finding the Fourth Proportional to 3,202.47, 4,420.13 and 2,023.32

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Solution

The fourth proportional to 3,202.47, 4,420.13 and 2,023.32 is: 2,792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.47 : 4,420.13 = 2,023.32 : x
  2. Step 2: Convert to fraction form
    3,202.47/4,420.13 = 2,023.32/x
  3. Step 3: Cross multiply
    3,202.47x = 4,420.13 × 2,023.32
  4. Step 4: Simplify right side
    3,202.47x = 8,943,337.43
  5. Step 5: Solve for x
    x = 8,943,337.43/3,202.47
  6. Step 6: Final answer
    x = 2,792.64

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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.