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Finding the Fourth Proportional to 2,502.98, 3,446.21 and 2,204.03

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Solution

The fourth proportional to 2,502.98, 3,446.21 and 2,204.03 is: 3,034.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.98 : 3,446.21 = 2,204.03 : x
  2. Step 2: Convert to fraction form
    2,502.98/3,446.21 = 2,204.03/x
  3. Step 3: Cross multiply
    2,502.98x = 3,446.21 × 2,204.03
  4. Step 4: Simplify right side
    2,502.98x = 7,595,544.97
  5. Step 5: Solve for x
    x = 7,595,544.97/2,502.98
  6. Step 6: Final answer
    x = 3,034.60

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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.