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Finding the Fourth Proportional to 2,502.44, 3,754.86 and 1,203.56

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Solution

The fourth proportional to 2,502.44, 3,754.86 and 1,203.56 is: 1,805.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.44 : 3,754.86 = 1,203.56 : x
  2. Step 2: Convert to fraction form
    2,502.44/3,754.86 = 1,203.56/x
  3. Step 3: Cross multiply
    2,502.44x = 3,754.86 × 1,203.56
  4. Step 4: Simplify right side
    2,502.44x = 4,519,199.30
  5. Step 5: Solve for x
    x = 4,519,199.30/2,502.44
  6. Step 6: Final answer
    x = 1,805.92

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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.