Home / 1,604.16-2,213.76-905.52

Finding the Fourth Proportional to 1,604.16, 2,213.76 and 905.52

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Solution

The fourth proportional to 1,604.16, 2,213.76 and 905.52 is: 1,249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.16 : 2,213.76 = 905.52 : x
  2. Step 2: Convert to fraction form
    1,604.16/2,213.76 = 905.52/x
  3. Step 3: Cross multiply
    1,604.16x = 2,213.76 × 905.52
  4. Step 4: Simplify right side
    1,604.16x = 2,004,603.96
  5. Step 5: Solve for x
    x = 2,004,603.96/1,604.16
  6. Step 6: Final answer
    x = 1,249.63

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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.