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Finding the Fourth Proportional to 2,065.40, 2,850.80 and 1,279

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Solution

The fourth proportional to 2,065.40, 2,850.80 and 1,279 is: 1,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.40 : 2,850.80 = 1,279 : x
  2. Step 2: Convert to fraction form
    2,065.40/2,850.80 = 1,279/x
  3. Step 3: Cross multiply
    2,065.40x = 2,850.80 × 1,279
  4. Step 4: Simplify right side
    2,065.40x = 3,646,173.20
  5. Step 5: Solve for x
    x = 3,646,173.20/2,065.40
  6. Step 6: Final answer
    x = 1,765.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.