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Finding the Fourth Proportional to 1,773.82, 2,660.12 and 850.42

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Solution

The fourth proportional to 1,773.82, 2,660.12 and 850.42 is: 1,275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.82 : 2,660.12 = 850.42 : x
  2. Step 2: Convert to fraction form
    1,773.82/2,660.12 = 850.42/x
  3. Step 3: Cross multiply
    1,773.82x = 2,660.12 × 850.42
  4. Step 4: Simplify right side
    1,773.82x = 2,262,219.25
  5. Step 5: Solve for x
    x = 2,262,219.25/1,773.82
  6. Step 6: Final answer
    x = 1,275.34

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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.