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Finding the Fourth Proportional to 2,818.57, 4,228.50 and 969.67

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Solution

The fourth proportional to 2,818.57, 4,228.50 and 969.67 is: 1,454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.57 : 4,228.50 = 969.67 : x
  2. Step 2: Convert to fraction form
    2,818.57/4,228.50 = 969.67/x
  3. Step 3: Cross multiply
    2,818.57x = 4,228.50 × 969.67
  4. Step 4: Simplify right side
    2,818.57x = 4,100,249.60
  5. Step 5: Solve for x
    x = 4,100,249.60/2,818.57
  6. Step 6: Final answer
    x = 1,454.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.