Home / 1,535.23-2,118.25-905.78

Finding the Fourth Proportional to 1,535.23, 2,118.25 and 905.78

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Solution

The fourth proportional to 1,535.23, 2,118.25 and 905.78 is: 1,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.23 : 2,118.25 = 905.78 : x
  2. Step 2: Convert to fraction form
    1,535.23/2,118.25 = 905.78/x
  3. Step 3: Cross multiply
    1,535.23x = 2,118.25 × 905.78
  4. Step 4: Simplify right side
    1,535.23x = 1,918,668.49
  5. Step 5: Solve for x
    x = 1,918,668.49/1,535.23
  6. Step 6: Final answer
    x = 1,249.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.