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Finding the Fourth Proportional to 2,601.82, 3,902.15 and 752.53

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Solution

The fourth proportional to 2,601.82, 3,902.15 and 752.53 is: 1,128.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.82 : 3,902.15 = 752.53 : x
  2. Step 2: Convert to fraction form
    2,601.82/3,902.15 = 752.53/x
  3. Step 3: Cross multiply
    2,601.82x = 3,902.15 × 752.53
  4. Step 4: Simplify right side
    2,601.82x = 2,936,484.94
  5. Step 5: Solve for x
    x = 2,936,484.94/2,601.82
  6. Step 6: Final answer
    x = 1,128.63

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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.