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Finding the Fourth Proportional to 2,155.70, 3,233.56 and 769.38

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Solution

The fourth proportional to 2,155.70, 3,233.56 and 769.38 is: 1,154.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.70 : 3,233.56 = 769.38 : x
  2. Step 2: Convert to fraction form
    2,155.70/3,233.56 = 769.38/x
  3. Step 3: Cross multiply
    2,155.70x = 3,233.56 × 769.38
  4. Step 4: Simplify right side
    2,155.70x = 2,487,836.39
  5. Step 5: Solve for x
    x = 2,487,836.39/2,155.70
  6. Step 6: Final answer
    x = 1,154.07

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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.