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Finding the Fourth Proportional to 2,813.93, 3,882.63 and 1,634.39

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Solution

The fourth proportional to 2,813.93, 3,882.63 and 1,634.39 is: 2,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.93 : 3,882.63 = 1,634.39 : x
  2. Step 2: Convert to fraction form
    2,813.93/3,882.63 = 1,634.39/x
  3. Step 3: Cross multiply
    2,813.93x = 3,882.63 × 1,634.39
  4. Step 4: Simplify right side
    2,813.93x = 6,345,731.65
  5. Step 5: Solve for x
    x = 6,345,731.65/2,813.93
  6. Step 6: Final answer
    x = 2,255.11

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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.