Home / 1,426.42-2,136.61-730.97

Finding the Fourth Proportional to 1,426.42, 2,136.61 and 730.97

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Solution

The fourth proportional to 1,426.42, 2,136.61 and 730.97 is: 1,094.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.42 : 2,136.61 = 730.97 : x
  2. Step 2: Convert to fraction form
    1,426.42/2,136.61 = 730.97/x
  3. Step 3: Cross multiply
    1,426.42x = 2,136.61 × 730.97
  4. Step 4: Simplify right side
    1,426.42x = 1,561,797.81
  5. Step 5: Solve for x
    x = 1,561,797.81/1,426.42
  6. Step 6: Final answer
    x = 1,094.91

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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.