Home / 1,535.12-2,118.38-905.67

Finding the Fourth Proportional to 1,535.12, 2,118.38 and 905.67

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Solution

The fourth proportional to 1,535.12, 2,118.38 and 905.67 is: 1,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.12 : 2,118.38 = 905.67 : x
  2. Step 2: Convert to fraction form
    1,535.12/2,118.38 = 905.67/x
  3. Step 3: Cross multiply
    1,535.12x = 2,118.38 × 905.67
  4. Step 4: Simplify right side
    1,535.12x = 1,918,548.69
  5. Step 5: Solve for x
    x = 1,918,548.69/1,535.12
  6. Step 6: Final answer
    x = 1,249.78

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Why These Related Problems?

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