Home / 2,067.30-3,102.49-972.43

Finding the Fourth Proportional to 2,067.30, 3,102.49 and 972.43

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Solution

The fourth proportional to 2,067.30, 3,102.49 and 972.43 is: 1,459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.30 : 3,102.49 = 972.43 : x
  2. Step 2: Convert to fraction form
    2,067.30/3,102.49 = 972.43/x
  3. Step 3: Cross multiply
    2,067.30x = 3,102.49 × 972.43
  4. Step 4: Simplify right side
    2,067.30x = 3,016,955.17
  5. Step 5: Solve for x
    x = 3,016,955.17/2,067.30
  6. Step 6: Final answer
    x = 1,459.37

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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.