Home / 2,422.16-3,632.69-960.92

Finding the Fourth Proportional to 2,422.16, 3,632.69 and 960.92

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Solution

The fourth proportional to 2,422.16, 3,632.69 and 960.92 is: 1,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.16 : 3,632.69 = 960.92 : x
  2. Step 2: Convert to fraction form
    2,422.16/3,632.69 = 960.92/x
  3. Step 3: Cross multiply
    2,422.16x = 3,632.69 × 960.92
  4. Step 4: Simplify right side
    2,422.16x = 3,490,708.71
  5. Step 5: Solve for x
    x = 3,490,708.71/2,422.16
  6. Step 6: Final answer
    x = 1,441.16

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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.