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Finding the Fourth Proportional to 2,229.91, 3,077.14 and 1,235.13

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Solution

The fourth proportional to 2,229.91, 3,077.14 and 1,235.13 is: 1,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.91 : 3,077.14 = 1,235.13 : x
  2. Step 2: Convert to fraction form
    2,229.91/3,077.14 = 1,235.13/x
  3. Step 3: Cross multiply
    2,229.91x = 3,077.14 × 1,235.13
  4. Step 4: Simplify right side
    2,229.91x = 3,800,667.93
  5. Step 5: Solve for x
    x = 3,800,667.93/2,229.91
  6. Step 6: Final answer
    x = 1,704.40

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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.