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Finding the Fourth Proportional to 2,209.55, 3,314.75 and 748.67

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Solution

The fourth proportional to 2,209.55, 3,314.75 and 748.67 is: 1,123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.55 : 3,314.75 = 748.67 : x
  2. Step 2: Convert to fraction form
    2,209.55/3,314.75 = 748.67/x
  3. Step 3: Cross multiply
    2,209.55x = 3,314.75 × 748.67
  4. Step 4: Simplify right side
    2,209.55x = 2,481,633.57
  5. Step 5: Solve for x
    x = 2,481,633.57/2,209.55
  6. Step 6: Final answer
    x = 1,123.14

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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.