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Finding the Fourth Proportional to 2,324.88, 3,200.31 and 2,008.22

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Solution

The fourth proportional to 2,324.88, 3,200.31 and 2,008.22 is: 2,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.88 : 3,200.31 = 2,008.22 : x
  2. Step 2: Convert to fraction form
    2,324.88/3,200.31 = 2,008.22/x
  3. Step 3: Cross multiply
    2,324.88x = 3,200.31 × 2,008.22
  4. Step 4: Simplify right side
    2,324.88x = 6,426,910.55
  5. Step 5: Solve for x
    x = 6,426,910.55/2,324.88
  6. Step 6: Final answer
    x = 2,764.41

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1.5x scale

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.