Home / 1,524.82-2,287.24-429.18

Finding the Fourth Proportional to 1,524.82, 2,287.24 and 429.18

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Solution

The fourth proportional to 1,524.82, 2,287.24 and 429.18 is: 643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.82 : 2,287.24 = 429.18 : x
  2. Step 2: Convert to fraction form
    1,524.82/2,287.24 = 429.18/x
  3. Step 3: Cross multiply
    1,524.82x = 2,287.24 × 429.18
  4. Step 4: Simplify right side
    1,524.82x = 981,637.66
  5. Step 5: Solve for x
    x = 981,637.66/1,524.82
  6. Step 6: Final answer
    x = 643.77

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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.