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Finding the Fourth Proportional to 2,821.70, 4,232.54 and 769.70

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Solution

The fourth proportional to 2,821.70, 4,232.54 and 769.70 is: 1,154.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.70 : 4,232.54 = 769.70 : x
  2. Step 2: Convert to fraction form
    2,821.70/4,232.54 = 769.70/x
  3. Step 3: Cross multiply
    2,821.70x = 4,232.54 × 769.70
  4. Step 4: Simplify right side
    2,821.70x = 3,257,786.04
  5. Step 5: Solve for x
    x = 3,257,786.04/2,821.70
  6. Step 6: Final answer
    x = 1,154.55

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Similar ratio
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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.