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Finding the Fourth Proportional to 2,081.75, 2,885.23 and 2,042.87

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Solution

The fourth proportional to 2,081.75, 2,885.23 and 2,042.87 is: 2,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.75 : 2,885.23 = 2,042.87 : x
  2. Step 2: Convert to fraction form
    2,081.75/2,885.23 = 2,042.87/x
  3. Step 3: Cross multiply
    2,081.75x = 2,885.23 × 2,042.87
  4. Step 4: Simplify right side
    2,081.75x = 5,894,137.94
  5. Step 5: Solve for x
    x = 5,894,137.94/2,081.75
  6. Step 6: Final answer
    x = 2,831.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.