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Finding the Fourth Proportional to 2,197.12, 3,032.03 and 1,202.41

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Solution

The fourth proportional to 2,197.12, 3,032.03 and 1,202.41 is: 1,659.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.12 : 3,032.03 = 1,202.41 : x
  2. Step 2: Convert to fraction form
    2,197.12/3,032.03 = 1,202.41/x
  3. Step 3: Cross multiply
    2,197.12x = 3,032.03 × 1,202.41
  4. Step 4: Simplify right side
    2,197.12x = 3,645,736.36
  5. Step 5: Solve for x
    x = 3,645,736.36/2,197.12
  6. Step 6: Final answer
    x = 1,659.32

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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.