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Finding the Fourth Proportional to 2,806.38, 4,205.79 and 1,074.06

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Solution

The fourth proportional to 2,806.38, 4,205.79 and 1,074.06 is: 1,609.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.38 : 4,205.79 = 1,074.06 : x
  2. Step 2: Convert to fraction form
    2,806.38/4,205.79 = 1,074.06/x
  3. Step 3: Cross multiply
    2,806.38x = 4,205.79 × 1,074.06
  4. Step 4: Simplify right side
    2,806.38x = 4,517,270.81
  5. Step 5: Solve for x
    x = 4,517,270.81/2,806.38
  6. Step 6: Final answer
    x = 1,609.64

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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.