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Finding the Fourth Proportional to 2,607.76, 3,912.48 and 758.98

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Solution

The fourth proportional to 2,607.76, 3,912.48 and 758.98 is: 1,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.76 : 3,912.48 = 758.98 : x
  2. Step 2: Convert to fraction form
    2,607.76/3,912.48 = 758.98/x
  3. Step 3: Cross multiply
    2,607.76x = 3,912.48 × 758.98
  4. Step 4: Simplify right side
    2,607.76x = 2,969,494.07
  5. Step 5: Solve for x
    x = 2,969,494.07/2,607.76
  6. Step 6: Final answer
    x = 1,138.71

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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.