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Finding the Fourth Proportional to 2,229.78, 3,077 and 1,235.02

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Solution

The fourth proportional to 2,229.78, 3,077 and 1,235.02 is: 1,704.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.78 : 3,077 = 1,235.02 : x
  2. Step 2: Convert to fraction form
    2,229.78/3,077 = 1,235.02/x
  3. Step 3: Cross multiply
    2,229.78x = 3,077 × 1,235.02
  4. Step 4: Simplify right side
    2,229.78x = 3,800,156.54
  5. Step 5: Solve for x
    x = 3,800,156.54/2,229.78
  6. Step 6: Final answer
    x = 1,704.27

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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.