Home / 2,197.14-3,032-1,202.44

Finding the Fourth Proportional to 2,197.14, 3,032 and 1,202.44

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Solution

The fourth proportional to 2,197.14, 3,032 and 1,202.44 is: 1,659.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.14 : 3,032 = 1,202.44 : x
  2. Step 2: Convert to fraction form
    2,197.14/3,032 = 1,202.44/x
  3. Step 3: Cross multiply
    2,197.14x = 3,032 × 1,202.44
  4. Step 4: Simplify right side
    2,197.14x = 3,645,798.08
  5. Step 5: Solve for x
    x = 3,645,798.08/2,197.14
  6. Step 6: Final answer
    x = 1,659.34

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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.