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Finding the Fourth Proportional to 2,081.46, 3,123.73 and 985.83

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Solution

The fourth proportional to 2,081.46, 3,123.73 and 985.83 is: 1,479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.46 : 3,123.73 = 985.83 : x
  2. Step 2: Convert to fraction form
    2,081.46/3,123.73 = 985.83/x
  3. Step 3: Cross multiply
    2,081.46x = 3,123.73 × 985.83
  4. Step 4: Simplify right side
    2,081.46x = 3,079,466.75
  5. Step 5: Solve for x
    x = 3,079,466.75/2,081.46
  6. Step 6: Final answer
    x = 1,479.47

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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.