Home / 2,147.29-3,222.74-849.67

Finding the Fourth Proportional to 2,147.29, 3,222.74 and 849.67

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Solution

The fourth proportional to 2,147.29, 3,222.74 and 849.67 is: 1,275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.29 : 3,222.74 = 849.67 : x
  2. Step 2: Convert to fraction form
    2,147.29/3,222.74 = 849.67/x
  3. Step 3: Cross multiply
    2,147.29x = 3,222.74 × 849.67
  4. Step 4: Simplify right side
    2,147.29x = 2,738,259.56
  5. Step 5: Solve for x
    x = 2,738,259.56/2,147.29
  6. Step 6: Final answer
    x = 1,275.22

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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.