Home / 1,388.12-2,081.97-414.09

Finding the Fourth Proportional to 1,388.12, 2,081.97 and 414.09

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Solution

The fourth proportional to 1,388.12, 2,081.97 and 414.09 is: 621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.12 : 2,081.97 = 414.09 : x
  2. Step 2: Convert to fraction form
    1,388.12/2,081.97 = 414.09/x
  3. Step 3: Cross multiply
    1,388.12x = 2,081.97 × 414.09
  4. Step 4: Simplify right side
    1,388.12x = 862,122.96
  5. Step 5: Solve for x
    x = 862,122.96/1,388.12
  6. Step 6: Final answer
    x = 621.07

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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.