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Finding the Fourth Proportional to 2,843.99, 4,264.67 and 1,199.63

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Solution

The fourth proportional to 2,843.99, 4,264.67 and 1,199.63 is: 1,798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.99 : 4,264.67 = 1,199.63 : x
  2. Step 2: Convert to fraction form
    2,843.99/4,264.67 = 1,199.63/x
  3. Step 3: Cross multiply
    2,843.99x = 4,264.67 × 1,199.63
  4. Step 4: Simplify right side
    2,843.99x = 5,116,039.73
  5. Step 5: Solve for x
    x = 5,116,039.73/2,843.99
  6. Step 6: Final answer
    x = 1,798.90

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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.