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Finding the Fourth Proportional to 2,699.34, 4,049.76 and 850.41

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Solution

The fourth proportional to 2,699.34, 4,049.76 and 850.41 is: 1,275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.34 : 4,049.76 = 850.41 : x
  2. Step 2: Convert to fraction form
    2,699.34/4,049.76 = 850.41/x
  3. Step 3: Cross multiply
    2,699.34x = 4,049.76 × 850.41
  4. Step 4: Simplify right side
    2,699.34x = 3,443,956.40
  5. Step 5: Solve for x
    x = 3,443,956.40/2,699.34
  6. Step 6: Final answer
    x = 1,275.85

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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.