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Finding the Fourth Proportional to 2,607.86, 3,912.16 and 758.98

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Solution

The fourth proportional to 2,607.86, 3,912.16 and 758.98 is: 1,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.86 : 3,912.16 = 758.98 : x
  2. Step 2: Convert to fraction form
    2,607.86/3,912.16 = 758.98/x
  3. Step 3: Cross multiply
    2,607.86x = 3,912.16 × 758.98
  4. Step 4: Simplify right side
    2,607.86x = 2,969,251.20
  5. Step 5: Solve for x
    x = 2,969,251.20/2,607.86
  6. Step 6: Final answer
    x = 1,138.58

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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.