Home / 1,415.24-2,122.80-441.36

Finding the Fourth Proportional to 1,415.24, 2,122.80 and 441.36

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Solution

The fourth proportional to 1,415.24, 2,122.80 and 441.36 is: 662.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.24 : 2,122.80 = 441.36 : x
  2. Step 2: Convert to fraction form
    1,415.24/2,122.80 = 441.36/x
  3. Step 3: Cross multiply
    1,415.24x = 2,122.80 × 441.36
  4. Step 4: Simplify right side
    1,415.24x = 936,919.01
  5. Step 5: Solve for x
    x = 936,919.01/1,415.24
  6. Step 6: Final answer
    x = 662.02

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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.