Home / 2,524.64-3,781.38-2,005.22

Finding the Fourth Proportional to 2,524.64, 3,781.38 and 2,005.22

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Solution

The fourth proportional to 2,524.64, 3,781.38 and 2,005.22 is: 3,003.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.64 : 3,781.38 = 2,005.22 : x
  2. Step 2: Convert to fraction form
    2,524.64/3,781.38 = 2,005.22/x
  3. Step 3: Cross multiply
    2,524.64x = 3,781.38 × 2,005.22
  4. Step 4: Simplify right side
    2,524.64x = 7,582,498.80
  5. Step 5: Solve for x
    x = 7,582,498.80/2,524.64
  6. Step 6: Final answer
    x = 3,003.40

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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.