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Finding the Fourth Proportional to 2,083.39, 2,873.88 and 1,243.82

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Solution

The fourth proportional to 2,083.39, 2,873.88 and 1,243.82 is: 1,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.39 : 2,873.88 = 1,243.82 : x
  2. Step 2: Convert to fraction form
    2,083.39/2,873.88 = 1,243.82/x
  3. Step 3: Cross multiply
    2,083.39x = 2,873.88 × 1,243.82
  4. Step 4: Simplify right side
    2,083.39x = 3,574,596.61
  5. Step 5: Solve for x
    x = 3,574,596.61/2,083.39
  6. Step 6: Final answer
    x = 1,715.76

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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.