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Finding the Fourth Proportional to 3,259.12, 4,883 and 1,696.73

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Solution

The fourth proportional to 3,259.12, 4,883 and 1,696.73 is: 2,542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.12 : 4,883 = 1,696.73 : x
  2. Step 2: Convert to fraction form
    3,259.12/4,883 = 1,696.73/x
  3. Step 3: Cross multiply
    3,259.12x = 4,883 × 1,696.73
  4. Step 4: Simplify right side
    3,259.12x = 8,285,132.59
  5. Step 5: Solve for x
    x = 8,285,132.59/3,259.12
  6. Step 6: Final answer
    x = 2,542.14

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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.