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Finding the Fourth Proportional to 2,308.48, 3,446.09 and 2,144.45

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Solution

The fourth proportional to 2,308.48, 3,446.09 and 2,144.45 is: 3,201.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.48 : 3,446.09 = 2,144.45 : x
  2. Step 2: Convert to fraction form
    2,308.48/3,446.09 = 2,144.45/x
  3. Step 3: Cross multiply
    2,308.48x = 3,446.09 × 2,144.45
  4. Step 4: Simplify right side
    2,308.48x = 7,389,965.59
  5. Step 5: Solve for x
    x = 7,389,965.59/2,308.48
  6. Step 6: Final answer
    x = 3,201.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.