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Finding the Fourth Proportional to 2,604.78, 3,908.08 and 1,143.74

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Solution

The fourth proportional to 2,604.78, 3,908.08 and 1,143.74 is: 1,716.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.78 : 3,908.08 = 1,143.74 : x
  2. Step 2: Convert to fraction form
    2,604.78/3,908.08 = 1,143.74/x
  3. Step 3: Cross multiply
    2,604.78x = 3,908.08 × 1,143.74
  4. Step 4: Simplify right side
    2,604.78x = 4,469,827.42
  5. Step 5: Solve for x
    x = 4,469,827.42/2,604.78
  6. Step 6: Final answer
    x = 1,716.01

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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.