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Finding the Fourth Proportional to 2,266.74, 3,399.29 and 785.56

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Solution

The fourth proportional to 2,266.74, 3,399.29 and 785.56 is: 1,178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.74 : 3,399.29 = 785.56 : x
  2. Step 2: Convert to fraction form
    2,266.74/3,399.29 = 785.56/x
  3. Step 3: Cross multiply
    2,266.74x = 3,399.29 × 785.56
  4. Step 4: Simplify right side
    2,266.74x = 2,670,346.25
  5. Step 5: Solve for x
    x = 2,670,346.25/2,266.74
  6. Step 6: Final answer
    x = 1,178.06

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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.