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Finding the Fourth Proportional to 2,654.17, 3,958.09 and 2,326.63

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Solution

The fourth proportional to 2,654.17, 3,958.09 and 2,326.63 is: 3,469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.17 : 3,958.09 = 2,326.63 : x
  2. Step 2: Convert to fraction form
    2,654.17/3,958.09 = 2,326.63/x
  3. Step 3: Cross multiply
    2,654.17x = 3,958.09 × 2,326.63
  4. Step 4: Simplify right side
    2,654.17x = 9,209,010.94
  5. Step 5: Solve for x
    x = 9,209,010.94/2,654.17
  6. Step 6: Final answer
    x = 3,469.64

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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.