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Finding the Fourth Proportional to 3,291.96, 4,538.22 and 2,242.68

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Solution

The fourth proportional to 3,291.96, 4,538.22 and 2,242.68 is: 3,091.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.96 : 4,538.22 = 2,242.68 : x
  2. Step 2: Convert to fraction form
    3,291.96/4,538.22 = 2,242.68/x
  3. Step 3: Cross multiply
    3,291.96x = 4,538.22 × 2,242.68
  4. Step 4: Simplify right side
    3,291.96x = 10,177,775.23
  5. Step 5: Solve for x
    x = 10,177,775.23/3,291.96
  6. Step 6: Final answer
    x = 3,091.71

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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.