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Finding the Fourth Proportional to 2,843.21, 4,265.08 and 1,199.52

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Solution

The fourth proportional to 2,843.21, 4,265.08 and 1,199.52 is: 1,799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.21 : 4,265.08 = 1,199.52 : x
  2. Step 2: Convert to fraction form
    2,843.21/4,265.08 = 1,199.52/x
  3. Step 3: Cross multiply
    2,843.21x = 4,265.08 × 1,199.52
  4. Step 4: Simplify right side
    2,843.21x = 5,116,045.76
  5. Step 5: Solve for x
    x = 5,116,045.76/2,843.21
  6. Step 6: Final answer
    x = 1,799.39

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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.