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Finding the Fourth Proportional to 2,837.61, 4,255.11 and 1,193.27

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Solution

The fourth proportional to 2,837.61, 4,255.11 and 1,193.27 is: 1,789.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.61 : 4,255.11 = 1,193.27 : x
  2. Step 2: Convert to fraction form
    2,837.61/4,255.11 = 1,193.27/x
  3. Step 3: Cross multiply
    2,837.61x = 4,255.11 × 1,193.27
  4. Step 4: Simplify right side
    2,837.61x = 5,077,473.83
  5. Step 5: Solve for x
    x = 5,077,473.83/2,837.61
  6. Step 6: Final answer
    x = 1,789.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.