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Finding the Fourth Proportional to 2,824.97, 4,238.34 and 1,266.30

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Solution

The fourth proportional to 2,824.97, 4,238.34 and 1,266.30 is: 1,899.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.97 : 4,238.34 = 1,266.30 : x
  2. Step 2: Convert to fraction form
    2,824.97/4,238.34 = 1,266.30/x
  3. Step 3: Cross multiply
    2,824.97x = 4,238.34 × 1,266.30
  4. Step 4: Simplify right side
    2,824.97x = 5,367,009.94
  5. Step 5: Solve for x
    x = 5,367,009.94/2,824.97
  6. Step 6: Final answer
    x = 1,899.85

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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.