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Finding the Fourth Proportional to 2,266.12, 3,399.27 and 785.35

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Solution

The fourth proportional to 2,266.12, 3,399.27 and 785.35 is: 1,178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.12 : 3,399.27 = 785.35 : x
  2. Step 2: Convert to fraction form
    2,266.12/3,399.27 = 785.35/x
  3. Step 3: Cross multiply
    2,266.12x = 3,399.27 × 785.35
  4. Step 4: Simplify right side
    2,266.12x = 2,669,616.69
  5. Step 5: Solve for x
    x = 2,669,616.69/2,266.12
  6. Step 6: Final answer
    x = 1,178.06

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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.