Home / 1,426.23-2,135.57-809.01

Finding the Fourth Proportional to 1,426.23, 2,135.57 and 809.01

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Solution

The fourth proportional to 1,426.23, 2,135.57 and 809.01 is: 1,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.23 : 2,135.57 = 809.01 : x
  2. Step 2: Convert to fraction form
    1,426.23/2,135.57 = 809.01/x
  3. Step 3: Cross multiply
    1,426.23x = 2,135.57 × 809.01
  4. Step 4: Simplify right side
    1,426.23x = 1,727,693.44
  5. Step 5: Solve for x
    x = 1,727,693.44/1,426.23
  6. Step 6: Final answer
    x = 1,211.37

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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.