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Finding the Fourth Proportional to 2,601.56, 3,902.91 and 846.74

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Solution

The fourth proportional to 2,601.56, 3,902.91 and 846.74 is: 1,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.56 : 3,902.91 = 846.74 : x
  2. Step 2: Convert to fraction form
    2,601.56/3,902.91 = 846.74/x
  3. Step 3: Cross multiply
    2,601.56x = 3,902.91 × 846.74
  4. Step 4: Simplify right side
    2,601.56x = 3,304,745.78
  5. Step 5: Solve for x
    x = 3,304,745.78/2,601.56
  6. Step 6: Final answer
    x = 1,270.30

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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.