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Finding the Fourth Proportional to 2,209.77, 3,312.33 and 748.41

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Solution

The fourth proportional to 2,209.77, 3,312.33 and 748.41 is: 1,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.77 : 3,312.33 = 748.41 : x
  2. Step 2: Convert to fraction form
    2,209.77/3,312.33 = 748.41/x
  3. Step 3: Cross multiply
    2,209.77x = 3,312.33 × 748.41
  4. Step 4: Simplify right side
    2,209.77x = 2,478,980.90
  5. Step 5: Solve for x
    x = 2,478,980.90/2,209.77
  6. Step 6: Final answer
    x = 1,121.83

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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.