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Finding the Fourth Proportional to 2,289.27, 3,433.90 and 645.78

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Solution

The fourth proportional to 2,289.27, 3,433.90 and 645.78 is: 968.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.27 : 3,433.90 = 645.78 : x
  2. Step 2: Convert to fraction form
    2,289.27/3,433.90 = 645.78/x
  3. Step 3: Cross multiply
    2,289.27x = 3,433.90 × 645.78
  4. Step 4: Simplify right side
    2,289.27x = 2,217,543.94
  5. Step 5: Solve for x
    x = 2,217,543.94/2,289.27
  6. Step 6: Final answer
    x = 968.67

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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.