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Finding the Fourth Proportional to 3,202.58, 4,419.78 and 2,023.58

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Solution

The fourth proportional to 3,202.58, 4,419.78 and 2,023.58 is: 2,792.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.58 : 4,419.78 = 2,023.58 : x
  2. Step 2: Convert to fraction form
    3,202.58/4,419.78 = 2,023.58/x
  3. Step 3: Cross multiply
    3,202.58x = 4,419.78 × 2,023.58
  4. Step 4: Simplify right side
    3,202.58x = 8,943,778.41
  5. Step 5: Solve for x
    x = 8,943,778.41/3,202.58
  6. Step 6: Final answer
    x = 2,792.68

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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.