Home / 2,067.64-3,102.48-1,522.26

Finding the Fourth Proportional to 2,067.64, 3,102.48 and 1,522.26

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Solution

The fourth proportional to 2,067.64, 3,102.48 and 1,522.26 is: 2,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.64 : 3,102.48 = 1,522.26 : x
  2. Step 2: Convert to fraction form
    2,067.64/3,102.48 = 1,522.26/x
  3. Step 3: Cross multiply
    2,067.64x = 3,102.48 × 1,522.26
  4. Step 4: Simplify right side
    2,067.64x = 4,722,781.20
  5. Step 5: Solve for x
    x = 4,722,781.20/2,067.64
  6. Step 6: Final answer
    x = 2,284.14

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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.