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Finding the Fourth Proportional to 3,165.68, 4,744.40 and 2,291.13

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Solution

The fourth proportional to 3,165.68, 4,744.40 and 2,291.13 is: 3,433.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.68 : 4,744.40 = 2,291.13 : x
  2. Step 2: Convert to fraction form
    3,165.68/4,744.40 = 2,291.13/x
  3. Step 3: Cross multiply
    3,165.68x = 4,744.40 × 2,291.13
  4. Step 4: Simplify right side
    3,165.68x = 10,870,025.72
  5. Step 5: Solve for x
    x = 10,870,025.72/3,165.68
  6. Step 6: Final answer
    x = 3,433.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.