Home / 1,422.16-2,131.84-680.91

Finding the Fourth Proportional to 1,422.16, 2,131.84 and 680.91

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Solution

The fourth proportional to 1,422.16, 2,131.84 and 680.91 is: 1,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.16 : 2,131.84 = 680.91 : x
  2. Step 2: Convert to fraction form
    1,422.16/2,131.84 = 680.91/x
  3. Step 3: Cross multiply
    1,422.16x = 2,131.84 × 680.91
  4. Step 4: Simplify right side
    1,422.16x = 1,451,597.47
  5. Step 5: Solve for x
    x = 1,451,597.47/1,422.16
  6. Step 6: Final answer
    x = 1,020.70

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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.