Home / 1,447.31-1,997.21-849.72

Finding the Fourth Proportional to 1,447.31, 1,997.21 and 849.72

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Solution

The fourth proportional to 1,447.31, 1,997.21 and 849.72 is: 1,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.31 : 1,997.21 = 849.72 : x
  2. Step 2: Convert to fraction form
    1,447.31/1,997.21 = 849.72/x
  3. Step 3: Cross multiply
    1,447.31x = 1,997.21 × 849.72
  4. Step 4: Simplify right side
    1,447.31x = 1,697,065.03
  5. Step 5: Solve for x
    x = 1,697,065.03/1,447.31
  6. Step 6: Final answer
    x = 1,172.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.