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Finding the Fourth Proportional to 3,250.26, 4,866.60 and 1,687

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Solution

The fourth proportional to 3,250.26, 4,866.60 and 1,687 is: 2,525.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250.26 : 4,866.60 = 1,687 : x
  2. Step 2: Convert to fraction form
    3,250.26/4,866.60 = 1,687/x
  3. Step 3: Cross multiply
    3,250.26x = 4,866.60 × 1,687
  4. Step 4: Simplify right side
    3,250.26x = 8,209,954.20
  5. Step 5: Solve for x
    x = 8,209,954.20/3,250.26
  6. Step 6: Final answer
    x = 2,525.94

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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.