Home / 1,604.38-2,214.08-905.75

Finding the Fourth Proportional to 1,604.38, 2,214.08 and 905.75

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Solution

The fourth proportional to 1,604.38, 2,214.08 and 905.75 is: 1,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.38 : 2,214.08 = 905.75 : x
  2. Step 2: Convert to fraction form
    1,604.38/2,214.08 = 905.75/x
  3. Step 3: Cross multiply
    1,604.38x = 2,214.08 × 905.75
  4. Step 4: Simplify right side
    1,604.38x = 2,005,398.43
  5. Step 5: Solve for x
    x = 2,005,398.43/1,604.38
  6. Step 6: Final answer
    x = 1,249.96

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1.5x scale

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.