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Finding the Fourth Proportional to 2,217.67, 3,325.68 and 736.63

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Solution

The fourth proportional to 2,217.67, 3,325.68 and 736.63 is: 1,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.67 : 3,325.68 = 736.63 : x
  2. Step 2: Convert to fraction form
    2,217.67/3,325.68 = 736.63/x
  3. Step 3: Cross multiply
    2,217.67x = 3,325.68 × 736.63
  4. Step 4: Simplify right side
    2,217.67x = 2,449,787.34
  5. Step 5: Solve for x
    x = 2,449,787.34/2,217.67
  6. Step 6: Final answer
    x = 1,104.67

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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.