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Finding the Fourth Proportional to 1,844.56, 2,765.25 and 803.77

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Solution

The fourth proportional to 1,844.56, 2,765.25 and 803.77 is: 1,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.56 : 2,765.25 = 803.77 : x
  2. Step 2: Convert to fraction form
    1,844.56/2,765.25 = 803.77/x
  3. Step 3: Cross multiply
    1,844.56x = 2,765.25 × 803.77
  4. Step 4: Simplify right side
    1,844.56x = 2,222,624.99
  5. Step 5: Solve for x
    x = 2,222,624.99/1,844.56
  6. Step 6: Final answer
    x = 1,204.96

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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.