Home / 1,579.41-2,369.26-409.41

Finding the Fourth Proportional to 1,579.41, 2,369.26 and 409.41

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Solution

The fourth proportional to 1,579.41, 2,369.26 and 409.41 is: 614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.41 : 2,369.26 = 409.41 : x
  2. Step 2: Convert to fraction form
    1,579.41/2,369.26 = 409.41/x
  3. Step 3: Cross multiply
    1,579.41x = 2,369.26 × 409.41
  4. Step 4: Simplify right side
    1,579.41x = 969,998.74
  5. Step 5: Solve for x
    x = 969,998.74/1,579.41
  6. Step 6: Final answer
    x = 614.15

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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.