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Finding the Fourth Proportional to 2,843.67, 4,264.21 and 1,199.32

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Solution

The fourth proportional to 2,843.67, 4,264.21 and 1,199.32 is: 1,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.67 : 4,264.21 = 1,199.32 : x
  2. Step 2: Convert to fraction form
    2,843.67/4,264.21 = 1,199.32/x
  3. Step 3: Cross multiply
    2,843.67x = 4,264.21 × 1,199.32
  4. Step 4: Simplify right side
    2,843.67x = 5,114,152.34
  5. Step 5: Solve for x
    x = 5,114,152.34/2,843.67
  6. Step 6: Final answer
    x = 1,798.43

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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.