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Finding the Fourth Proportional to 2,529.14, 3,793.68 and 797.78

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Solution

The fourth proportional to 2,529.14, 3,793.68 and 797.78 is: 1,196.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.14 : 3,793.68 = 797.78 : x
  2. Step 2: Convert to fraction form
    2,529.14/3,793.68 = 797.78/x
  3. Step 3: Cross multiply
    2,529.14x = 3,793.68 × 797.78
  4. Step 4: Simplify right side
    2,529.14x = 3,026,522.03
  5. Step 5: Solve for x
    x = 3,026,522.03/2,529.14
  6. Step 6: Final answer
    x = 1,196.66

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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.