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Finding the Fourth Proportional to 2,806.80, 4,211.42 and 1,506.75

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Solution

The fourth proportional to 2,806.80, 4,211.42 and 1,506.75 is: 2,260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.80 : 4,211.42 = 1,506.75 : x
  2. Step 2: Convert to fraction form
    2,806.80/4,211.42 = 1,506.75/x
  3. Step 3: Cross multiply
    2,806.80x = 4,211.42 × 1,506.75
  4. Step 4: Simplify right side
    2,806.80x = 6,345,561.69
  5. Step 5: Solve for x
    x = 6,345,561.69/2,806.80
  6. Step 6: Final answer
    x = 2,260.78

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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.