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Finding the Fourth Proportional to 2,086.14, 2,878.74 and 1,246.88

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Solution

The fourth proportional to 2,086.14, 2,878.74 and 1,246.88 is: 1,720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.14 : 2,878.74 = 1,246.88 : x
  2. Step 2: Convert to fraction form
    2,086.14/2,878.74 = 1,246.88/x
  3. Step 3: Cross multiply
    2,086.14x = 2,878.74 × 1,246.88
  4. Step 4: Simplify right side
    2,086.14x = 3,589,428.94
  5. Step 5: Solve for x
    x = 3,589,428.94/2,086.14
  6. Step 6: Final answer
    x = 1,720.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.