Home / 1,426.19-2,141.33-811.13

Finding the Fourth Proportional to 1,426.19, 2,141.33 and 811.13

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Solution

The fourth proportional to 1,426.19, 2,141.33 and 811.13 is: 1,217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.19 : 2,141.33 = 811.13 : x
  2. Step 2: Convert to fraction form
    1,426.19/2,141.33 = 811.13/x
  3. Step 3: Cross multiply
    1,426.19x = 2,141.33 × 811.13
  4. Step 4: Simplify right side
    1,426.19x = 1,736,882.24
  5. Step 5: Solve for x
    x = 1,736,882.24/1,426.19
  6. Step 6: Final answer
    x = 1,217.85

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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.