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Finding the Fourth Proportional to 2,081.09, 3,121.02 and 985.16

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Solution

The fourth proportional to 2,081.09, 3,121.02 and 985.16 is: 1,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.09 : 3,121.02 = 985.16 : x
  2. Step 2: Convert to fraction form
    2,081.09/3,121.02 = 985.16/x
  3. Step 3: Cross multiply
    2,081.09x = 3,121.02 × 985.16
  4. Step 4: Simplify right side
    2,081.09x = 3,074,688.46
  5. Step 5: Solve for x
    x = 3,074,688.46/2,081.09
  6. Step 6: Final answer
    x = 1,477.44

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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.