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Finding the Fourth Proportional to 2,182.86, 3,274.43 and 1,086.12

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Solution

The fourth proportional to 2,182.86, 3,274.43 and 1,086.12 is: 1,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.86 : 3,274.43 = 1,086.12 : x
  2. Step 2: Convert to fraction form
    2,182.86/3,274.43 = 1,086.12/x
  3. Step 3: Cross multiply
    2,182.86x = 3,274.43 × 1,086.12
  4. Step 4: Simplify right side
    2,182.86x = 3,556,432.10
  5. Step 5: Solve for x
    x = 3,556,432.10/2,182.86
  6. Step 6: Final answer
    x = 1,629.25

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