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Finding the Fourth Proportional to 2,604.60, 3,906.90 and 2,561.40

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Solution

The fourth proportional to 2,604.60, 3,906.90 and 2,561.40 is: 3,842.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.60 : 3,906.90 = 2,561.40 : x
  2. Step 2: Convert to fraction form
    2,604.60/3,906.90 = 2,561.40/x
  3. Step 3: Cross multiply
    2,604.60x = 3,906.90 × 2,561.40
  4. Step 4: Simplify right side
    2,604.60x = 10,007,133.66
  5. Step 5: Solve for x
    x = 10,007,133.66/2,604.60
  6. Step 6: Final answer
    x = 3,842.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.