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Finding the Fourth Proportional to 2,806.97, 4,212.30 and 1,075.59

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Solution

The fourth proportional to 2,806.97, 4,212.30 and 1,075.59 is: 1,614.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.97 : 4,212.30 = 1,075.59 : x
  2. Step 2: Convert to fraction form
    2,806.97/4,212.30 = 1,075.59/x
  3. Step 3: Cross multiply
    2,806.97x = 4,212.30 × 1,075.59
  4. Step 4: Simplify right side
    2,806.97x = 4,530,707.76
  5. Step 5: Solve for x
    x = 4,530,707.76/2,806.97
  6. Step 6: Final answer
    x = 1,614.09

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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.