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Finding the Fourth Proportional to 3,224.22, 4,449.14 and 1,788.62

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Solution

The fourth proportional to 3,224.22, 4,449.14 and 1,788.62 is: 2,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.22 : 4,449.14 = 1,788.62 : x
  2. Step 2: Convert to fraction form
    3,224.22/4,449.14 = 1,788.62/x
  3. Step 3: Cross multiply
    3,224.22x = 4,449.14 × 1,788.62
  4. Step 4: Simplify right side
    3,224.22x = 7,957,820.79
  5. Step 5: Solve for x
    x = 7,957,820.79/3,224.22
  6. Step 6: Final answer
    x = 2,468.14

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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.