Home / 1,426.86-2,140.56-561.78

Finding the Fourth Proportional to 1,426.86, 2,140.56 and 561.78

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Solution

The fourth proportional to 1,426.86, 2,140.56 and 561.78 is: 842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.86 : 2,140.56 = 561.78 : x
  2. Step 2: Convert to fraction form
    1,426.86/2,140.56 = 561.78/x
  3. Step 3: Cross multiply
    1,426.86x = 2,140.56 × 561.78
  4. Step 4: Simplify right side
    1,426.86x = 1,202,523.80
  5. Step 5: Solve for x
    x = 1,202,523.80/1,426.86
  6. Step 6: Final answer
    x = 842.78

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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.