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Finding the Fourth Proportional to 2,321.49, 3,481.14 and 860.52

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Solution

The fourth proportional to 2,321.49, 3,481.14 and 860.52 is: 1,290.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.49 : 3,481.14 = 860.52 : x
  2. Step 2: Convert to fraction form
    2,321.49/3,481.14 = 860.52/x
  3. Step 3: Cross multiply
    2,321.49x = 3,481.14 × 860.52
  4. Step 4: Simplify right side
    2,321.49x = 2,995,590.59
  5. Step 5: Solve for x
    x = 2,995,590.59/2,321.49
  6. Step 6: Final answer
    x = 1,290.37

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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.