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Finding the Fourth Proportional to 2,086.47, 3,112.11 and 1,774.85

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Solution

The fourth proportional to 2,086.47, 3,112.11 and 1,774.85 is: 2,647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.47 : 3,112.11 = 1,774.85 : x
  2. Step 2: Convert to fraction form
    2,086.47/3,112.11 = 1,774.85/x
  3. Step 3: Cross multiply
    2,086.47x = 3,112.11 × 1,774.85
  4. Step 4: Simplify right side
    2,086.47x = 5,523,512.87
  5. Step 5: Solve for x
    x = 5,523,512.87/2,086.47
  6. Step 6: Final answer
    x = 2,647.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.