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Finding the Fourth Proportional to 2,806.56, 4,209.72 and 754.56

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Solution

The fourth proportional to 2,806.56, 4,209.72 and 754.56 is: 1,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.56 : 4,209.72 = 754.56 : x
  2. Step 2: Convert to fraction form
    2,806.56/4,209.72 = 754.56/x
  3. Step 3: Cross multiply
    2,806.56x = 4,209.72 × 754.56
  4. Step 4: Simplify right side
    2,806.56x = 3,176,486.32
  5. Step 5: Solve for x
    x = 3,176,486.32/2,806.56
  6. Step 6: Final answer
    x = 1,131.81

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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.