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Finding the Fourth Proportional to 2,091.42, 3,136.14 and 774.27

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Solution

The fourth proportional to 2,091.42, 3,136.14 and 774.27 is: 1,161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.42 : 3,136.14 = 774.27 : x
  2. Step 2: Convert to fraction form
    2,091.42/3,136.14 = 774.27/x
  3. Step 3: Cross multiply
    2,091.42x = 3,136.14 × 774.27
  4. Step 4: Simplify right side
    2,091.42x = 2,428,219.12
  5. Step 5: Solve for x
    x = 2,428,219.12/2,091.42
  6. Step 6: Final answer
    x = 1,161.04

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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.