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Finding the Fourth Proportional to 2,867.93, 3,952.38 and 2,237.46

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Solution

The fourth proportional to 2,867.93, 3,952.38 and 2,237.46 is: 3,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.93 : 3,952.38 = 2,237.46 : x
  2. Step 2: Convert to fraction form
    2,867.93/3,952.38 = 2,237.46/x
  3. Step 3: Cross multiply
    2,867.93x = 3,952.38 × 2,237.46
  4. Step 4: Simplify right side
    2,867.93x = 8,843,292.15
  5. Step 5: Solve for x
    x = 8,843,292.15/2,867.93
  6. Step 6: Final answer
    x = 3,083.51

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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.