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Finding the Fourth Proportional to 2,266.00, 3,399.14 and 2,099.99

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Solution

The fourth proportional to 2,266.00, 3,399.14 and 2,099.99 is: 3,150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.00 : 3,399.14 = 2,099.99 : x
  2. Step 2: Convert to fraction form
    2,266.00/3,399.14 = 2,099.99/x
  3. Step 3: Cross multiply
    2,266.00x = 3,399.14 × 2,099.99
  4. Step 4: Simplify right side
    2,266.00x = 7,138,173.76
  5. Step 5: Solve for x
    x = 7,138,173.76/2,266.00
  6. Step 6: Final answer
    x = 3,150.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.