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Finding the Fourth Proportional to 1,769.42, 2,652.40 and 844.73

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Solution

The fourth proportional to 1,769.42, 2,652.40 and 844.73 is: 1,266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.42 : 2,652.40 = 844.73 : x
  2. Step 2: Convert to fraction form
    1,769.42/2,652.40 = 844.73/x
  3. Step 3: Cross multiply
    1,769.42x = 2,652.40 × 844.73
  4. Step 4: Simplify right side
    1,769.42x = 2,240,561.85
  5. Step 5: Solve for x
    x = 2,240,561.85/1,769.42
  6. Step 6: Final answer
    x = 1,266.27

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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.