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Finding the Fourth Proportional to 2,611.39, 3,916.64 and 737.41

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Solution

The fourth proportional to 2,611.39, 3,916.64 and 737.41 is: 1,105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.39 : 3,916.64 = 737.41 : x
  2. Step 2: Convert to fraction form
    2,611.39/3,916.64 = 737.41/x
  3. Step 3: Cross multiply
    2,611.39x = 3,916.64 × 737.41
  4. Step 4: Simplify right side
    2,611.39x = 2,888,177.84
  5. Step 5: Solve for x
    x = 2,888,177.84/2,611.39
  6. Step 6: Final answer
    x = 1,105.99

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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.