Home / 2,306.86-3,462.26-921.17

Finding the Fourth Proportional to 2,306.86, 3,462.26 and 921.17

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Solution

The fourth proportional to 2,306.86, 3,462.26 and 921.17 is: 1,382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.86 : 3,462.26 = 921.17 : x
  2. Step 2: Convert to fraction form
    2,306.86/3,462.26 = 921.17/x
  3. Step 3: Cross multiply
    2,306.86x = 3,462.26 × 921.17
  4. Step 4: Simplify right side
    2,306.86x = 3,189,339.28
  5. Step 5: Solve for x
    x = 3,189,339.28/2,306.86
  6. Step 6: Final answer
    x = 1,382.54

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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.