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Finding the Fourth Proportional to 2,654.90, 3,654.09 and 2,338.10

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Solution

The fourth proportional to 2,654.90, 3,654.09 and 2,338.10 is: 3,218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.90 : 3,654.09 = 2,338.10 : x
  2. Step 2: Convert to fraction form
    2,654.90/3,654.09 = 2,338.10/x
  3. Step 3: Cross multiply
    2,654.90x = 3,654.09 × 2,338.10
  4. Step 4: Simplify right side
    2,654.90x = 8,543,609.56
  5. Step 5: Solve for x
    x = 8,543,609.56/2,654.90
  6. Step 6: Final answer
    x = 3,218.05

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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.