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Finding the Fourth Proportional to 3,145.81, 4,720.20 and 2,227.27

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Solution

The fourth proportional to 3,145.81, 4,720.20 and 2,227.27 is: 3,341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.81 : 4,720.20 = 2,227.27 : x
  2. Step 2: Convert to fraction form
    3,145.81/4,720.20 = 2,227.27/x
  3. Step 3: Cross multiply
    3,145.81x = 4,720.20 × 2,227.27
  4. Step 4: Simplify right side
    3,145.81x = 10,513,159.85
  5. Step 5: Solve for x
    x = 10,513,159.85/3,145.81
  6. Step 6: Final answer
    x = 3,341.96

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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.