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Finding the Fourth Proportional to 2,039.14, 3,060.45 and 807.43

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Solution

The fourth proportional to 2,039.14, 3,060.45 and 807.43 is: 1,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.14 : 3,060.45 = 807.43 : x
  2. Step 2: Convert to fraction form
    2,039.14/3,060.45 = 807.43/x
  3. Step 3: Cross multiply
    2,039.14x = 3,060.45 × 807.43
  4. Step 4: Simplify right side
    2,039.14x = 2,471,099.14
  5. Step 5: Solve for x
    x = 2,471,099.14/2,039.14
  6. Step 6: Final answer
    x = 1,211.83

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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.