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Finding the Fourth Proportional to 2,081.66, 3,124.02 and 986.02

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Solution

The fourth proportional to 2,081.66, 3,124.02 and 986.02 is: 1,479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.66 : 3,124.02 = 986.02 : x
  2. Step 2: Convert to fraction form
    2,081.66/3,124.02 = 986.02/x
  3. Step 3: Cross multiply
    2,081.66x = 3,124.02 × 986.02
  4. Step 4: Simplify right side
    2,081.66x = 3,080,353.88
  5. Step 5: Solve for x
    x = 3,080,353.88/2,081.66
  6. Step 6: Final answer
    x = 1,479.76

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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.