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Finding the Fourth Proportional to 1,426.26, 2,139.74 and 400.26

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Solution

The fourth proportional to 1,426.26, 2,139.74 and 400.26 is: 600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.26 : 2,139.74 = 400.26 : x
  2. Step 2: Convert to fraction form
    1,426.26/2,139.74 = 400.26/x
  3. Step 3: Cross multiply
    1,426.26x = 2,139.74 × 400.26
  4. Step 4: Simplify right side
    1,426.26x = 856,452.33
  5. Step 5: Solve for x
    x = 856,452.33/1,426.26
  6. Step 6: Final answer
    x = 600.49

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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.