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Finding the Fourth Proportional to 2,235.52, 3,083.12 and 1,351.14

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Solution

The fourth proportional to 2,235.52, 3,083.12 and 1,351.14 is: 1,863.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.52 : 3,083.12 = 1,351.14 : x
  2. Step 2: Convert to fraction form
    2,235.52/3,083.12 = 1,351.14/x
  3. Step 3: Cross multiply
    2,235.52x = 3,083.12 × 1,351.14
  4. Step 4: Simplify right side
    2,235.52x = 4,165,726.76
  5. Step 5: Solve for x
    x = 4,165,726.76/2,235.52
  6. Step 6: Final answer
    x = 1,863.43

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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.