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Finding the Fourth Proportional to 2,502.26, 3,450.52 and 2,149.36

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Solution

The fourth proportional to 2,502.26, 3,450.52 and 2,149.36 is: 2,963.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.26 : 3,450.52 = 2,149.36 : x
  2. Step 2: Convert to fraction form
    2,502.26/3,450.52 = 2,149.36/x
  3. Step 3: Cross multiply
    2,502.26x = 3,450.52 × 2,149.36
  4. Step 4: Simplify right side
    2,502.26x = 7,416,409.67
  5. Step 5: Solve for x
    x = 7,416,409.67/2,502.26
  6. Step 6: Final answer
    x = 2,963.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.