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Finding the Fourth Proportional to 2,611.05, 3,916.37 and 1,224.03

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Solution

The fourth proportional to 2,611.05, 3,916.37 and 1,224.03 is: 1,835.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.05 : 3,916.37 = 1,224.03 : x
  2. Step 2: Convert to fraction form
    2,611.05/3,916.37 = 1,224.03/x
  3. Step 3: Cross multiply
    2,611.05x = 3,916.37 × 1,224.03
  4. Step 4: Simplify right side
    2,611.05x = 4,793,748.25
  5. Step 5: Solve for x
    x = 4,793,748.25/2,611.05
  6. Step 6: Final answer
    x = 1,835.95

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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.