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Finding the Fourth Proportional to 2,502.56, 3,753.81 and 1,021.75

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Solution

The fourth proportional to 2,502.56, 3,753.81 and 1,021.75 is: 1,532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.56 : 3,753.81 = 1,021.75 : x
  2. Step 2: Convert to fraction form
    2,502.56/3,753.81 = 1,021.75/x
  3. Step 3: Cross multiply
    2,502.56x = 3,753.81 × 1,021.75
  4. Step 4: Simplify right side
    2,502.56x = 3,835,445.98
  5. Step 5: Solve for x
    x = 3,835,445.98/2,502.56
  6. Step 6: Final answer
    x = 1,532.61

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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.