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Finding the Fourth Proportional to 2,502.96, 3,755.04 and 2,039.52

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Solution

The fourth proportional to 2,502.96, 3,755.04 and 2,039.52 is: 3,059.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.96 : 3,755.04 = 2,039.52 : x
  2. Step 2: Convert to fraction form
    2,502.96/3,755.04 = 2,039.52/x
  3. Step 3: Cross multiply
    2,502.96x = 3,755.04 × 2,039.52
  4. Step 4: Simplify right side
    2,502.96x = 7,658,479.18
  5. Step 5: Solve for x
    x = 7,658,479.18/2,502.96
  6. Step 6: Final answer
    x = 3,059.77

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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.