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Finding the Fourth Proportional to 2,766.25, 3,817.43 and 1,524.25

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Solution

The fourth proportional to 2,766.25, 3,817.43 and 1,524.25 is: 2,103.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.25 : 3,817.43 = 1,524.25 : x
  2. Step 2: Convert to fraction form
    2,766.25/3,817.43 = 1,524.25/x
  3. Step 3: Cross multiply
    2,766.25x = 3,817.43 × 1,524.25
  4. Step 4: Simplify right side
    2,766.25x = 5,818,717.68
  5. Step 5: Solve for x
    x = 5,818,717.68/2,766.25
  6. Step 6: Final answer
    x = 2,103.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.