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Finding the Fourth Proportional to 2,086.77, 3,112.47 and 1,759.88

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Solution

The fourth proportional to 2,086.77, 3,112.47 and 1,759.88 is: 2,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.77 : 3,112.47 = 1,759.88 : x
  2. Step 2: Convert to fraction form
    2,086.77/3,112.47 = 1,759.88/x
  3. Step 3: Cross multiply
    2,086.77x = 3,112.47 × 1,759.88
  4. Step 4: Simplify right side
    2,086.77x = 5,477,558.14
  5. Step 5: Solve for x
    x = 5,477,558.14/2,086.77
  6. Step 6: Final answer
    x = 2,624.90

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