Home / 2,197.24-3,289.38-2,102.20

Finding the Fourth Proportional to 2,197.24, 3,289.38 and 2,102.20

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Solution

The fourth proportional to 2,197.24, 3,289.38 and 2,102.20 is: 3,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.24 : 3,289.38 = 2,102.20 : x
  2. Step 2: Convert to fraction form
    2,197.24/3,289.38 = 2,102.20/x
  3. Step 3: Cross multiply
    2,197.24x = 3,289.38 × 2,102.20
  4. Step 4: Simplify right side
    2,197.24x = 6,914,934.64
  5. Step 5: Solve for x
    x = 6,914,934.64/2,197.24
  6. Step 6: Final answer
    x = 3,147.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.