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Finding the Fourth Proportional to 2,061.78, 3,093.06 and 1,086.96

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Solution

The fourth proportional to 2,061.78, 3,093.06 and 1,086.96 is: 1,630.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.78 : 3,093.06 = 1,086.96 : x
  2. Step 2: Convert to fraction form
    2,061.78/3,093.06 = 1,086.96/x
  3. Step 3: Cross multiply
    2,061.78x = 3,093.06 × 1,086.96
  4. Step 4: Simplify right side
    2,061.78x = 3,362,032.50
  5. Step 5: Solve for x
    x = 3,362,032.50/2,061.78
  6. Step 6: Final answer
    x = 1,630.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.