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Finding the Fourth Proportional to 1,864.56, 2,795.01 and 769.85

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Solution

The fourth proportional to 1,864.56, 2,795.01 and 769.85 is: 1,154.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.56 : 2,795.01 = 769.85 : x
  2. Step 2: Convert to fraction form
    1,864.56/2,795.01 = 769.85/x
  3. Step 3: Cross multiply
    1,864.56x = 2,795.01 × 769.85
  4. Step 4: Simplify right side
    1,864.56x = 2,151,738.45
  5. Step 5: Solve for x
    x = 2,151,738.45/1,864.56
  6. Step 6: Final answer
    x = 1,154.02

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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.