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Finding the Fourth Proportional to 2,699.38, 4,049.34 and 850.42

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Solution

The fourth proportional to 2,699.38, 4,049.34 and 850.42 is: 1,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.38 : 4,049.34 = 850.42 : x
  2. Step 2: Convert to fraction form
    2,699.38/4,049.34 = 850.42/x
  3. Step 3: Cross multiply
    2,699.38x = 4,049.34 × 850.42
  4. Step 4: Simplify right side
    2,699.38x = 3,443,639.72
  5. Step 5: Solve for x
    x = 3,443,639.72/2,699.38
  6. Step 6: Final answer
    x = 1,275.72

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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.