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Finding the Fourth Proportional to 2,836.09, 4,251.58 and 986.84

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Solution

The fourth proportional to 2,836.09, 4,251.58 and 986.84 is: 1,479.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.09 : 4,251.58 = 986.84 : x
  2. Step 2: Convert to fraction form
    2,836.09/4,251.58 = 986.84/x
  3. Step 3: Cross multiply
    2,836.09x = 4,251.58 × 986.84
  4. Step 4: Simplify right side
    2,836.09x = 4,195,632.88
  5. Step 5: Solve for x
    x = 4,195,632.88/2,836.09
  6. Step 6: Final answer
    x = 1,479.37

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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.