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Finding the Fourth Proportional to 2,611.80, 3,916.62 and 2,035.08

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Solution

The fourth proportional to 2,611.80, 3,916.62 and 2,035.08 is: 3,051.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.80 : 3,916.62 = 2,035.08 : x
  2. Step 2: Convert to fraction form
    2,611.80/3,916.62 = 2,035.08/x
  3. Step 3: Cross multiply
    2,611.80x = 3,916.62 × 2,035.08
  4. Step 4: Simplify right side
    2,611.80x = 7,970,635.03
  5. Step 5: Solve for x
    x = 7,970,635.03/2,611.80
  6. Step 6: Final answer
    x = 3,051.78

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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.