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Finding the Fourth Proportional to 2,229.73, 3,077.01 and 1,235.07

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Solution

The fourth proportional to 2,229.73, 3,077.01 and 1,235.07 is: 1,704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.73 : 3,077.01 = 1,235.07 : x
  2. Step 2: Convert to fraction form
    2,229.73/3,077.01 = 1,235.07/x
  3. Step 3: Cross multiply
    2,229.73x = 3,077.01 × 1,235.07
  4. Step 4: Simplify right side
    2,229.73x = 3,800,322.74
  5. Step 5: Solve for x
    x = 3,800,322.74/2,229.73
  6. Step 6: Final answer
    x = 1,704.39

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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.