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Finding the Fourth Proportional to 2,787.35, 4,180.38 and 812.46

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Solution

The fourth proportional to 2,787.35, 4,180.38 and 812.46 is: 1,218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.35 : 4,180.38 = 812.46 : x
  2. Step 2: Convert to fraction form
    2,787.35/4,180.38 = 812.46/x
  3. Step 3: Cross multiply
    2,787.35x = 4,180.38 × 812.46
  4. Step 4: Simplify right side
    2,787.35x = 3,396,404.16
  5. Step 5: Solve for x
    x = 3,396,404.16/2,787.35
  6. Step 6: Final answer
    x = 1,218.51

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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.