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Finding the Fourth Proportional to 2,236.56, 3,351.12 and 774.91

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Solution

The fourth proportional to 2,236.56, 3,351.12 and 774.91 is: 1,161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.56 : 3,351.12 = 774.91 : x
  2. Step 2: Convert to fraction form
    2,236.56/3,351.12 = 774.91/x
  3. Step 3: Cross multiply
    2,236.56x = 3,351.12 × 774.91
  4. Step 4: Simplify right side
    2,236.56x = 2,596,816.40
  5. Step 5: Solve for x
    x = 2,596,816.40/2,236.56
  6. Step 6: Final answer
    x = 1,161.08

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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.