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Finding the Fourth Proportional to 2,842.75, 4,261.29 and 1,200.21

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Solution

The fourth proportional to 2,842.75, 4,261.29 and 1,200.21 is: 1,799.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.75 : 4,261.29 = 1,200.21 : x
  2. Step 2: Convert to fraction form
    2,842.75/4,261.29 = 1,200.21/x
  3. Step 3: Cross multiply
    2,842.75x = 4,261.29 × 1,200.21
  4. Step 4: Simplify right side
    2,842.75x = 5,114,442.87
  5. Step 5: Solve for x
    x = 5,114,442.87/2,842.75
  6. Step 6: Final answer
    x = 1,799.12

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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.