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Finding the Fourth Proportional to 2,008.81, 3,012.80 and 1,084.19

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Solution

The fourth proportional to 2,008.81, 3,012.80 and 1,084.19 is: 1,626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.81 : 3,012.80 = 1,084.19 : x
  2. Step 2: Convert to fraction form
    2,008.81/3,012.80 = 1,084.19/x
  3. Step 3: Cross multiply
    2,008.81x = 3,012.80 × 1,084.19
  4. Step 4: Simplify right side
    2,008.81x = 3,266,450.34
  5. Step 5: Solve for x
    x = 3,266,450.34/2,008.81
  6. Step 6: Final answer
    x = 1,626.07

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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.