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Finding the Fourth Proportional to 2,323.74, 3,197.25 and 2,008

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Solution

The fourth proportional to 2,323.74, 3,197.25 and 2,008 is: 2,762.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.74 : 3,197.25 = 2,008 : x
  2. Step 2: Convert to fraction form
    2,323.74/3,197.25 = 2,008/x
  3. Step 3: Cross multiply
    2,323.74x = 3,197.25 × 2,008
  4. Step 4: Simplify right side
    2,323.74x = 6,420,078
  5. Step 5: Solve for x
    x = 6,420,078/2,323.74
  6. Step 6: Final answer
    x = 2,762.82

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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.