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Finding the Fourth Proportional to 2,818.25, 4,227.39 and 766.25

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Solution

The fourth proportional to 2,818.25, 4,227.39 and 766.25 is: 1,149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.25 : 4,227.39 = 766.25 : x
  2. Step 2: Convert to fraction form
    2,818.25/4,227.39 = 766.25/x
  3. Step 3: Cross multiply
    2,818.25x = 4,227.39 × 766.25
  4. Step 4: Simplify right side
    2,818.25x = 3,239,237.59
  5. Step 5: Solve for x
    x = 3,239,237.59/2,818.25
  6. Step 6: Final answer
    x = 1,149.38

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1.5x scale

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.