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Finding the Fourth Proportional to 2,209.43, 3,312.08 and 747.56

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Solution

The fourth proportional to 2,209.43, 3,312.08 and 747.56 is: 1,120.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.43 : 3,312.08 = 747.56 : x
  2. Step 2: Convert to fraction form
    2,209.43/3,312.08 = 747.56/x
  3. Step 3: Cross multiply
    2,209.43x = 3,312.08 × 747.56
  4. Step 4: Simplify right side
    2,209.43x = 2,475,958.23
  5. Step 5: Solve for x
    x = 2,475,958.23/2,209.43
  6. Step 6: Final answer
    x = 1,120.63

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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.