Home / 2,309.28-3,464.16-849.12

Finding the Fourth Proportional to 2,309.28, 3,464.16 and 849.12

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Solution

The fourth proportional to 2,309.28, 3,464.16 and 849.12 is: 1,273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.28 : 3,464.16 = 849.12 : x
  2. Step 2: Convert to fraction form
    2,309.28/3,464.16 = 849.12/x
  3. Step 3: Cross multiply
    2,309.28x = 3,464.16 × 849.12
  4. Step 4: Simplify right side
    2,309.28x = 2,941,487.54
  5. Step 5: Solve for x
    x = 2,941,487.54/2,309.28
  6. Step 6: Final answer
    x = 1,273.77

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Why These Related Problems?

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