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Finding the Fourth Proportional to 2,604.81, 3,906.91 and 657.03

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Solution

The fourth proportional to 2,604.81, 3,906.91 and 657.03 is: 985.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.81 : 3,906.91 = 657.03 : x
  2. Step 2: Convert to fraction form
    2,604.81/3,906.91 = 657.03/x
  3. Step 3: Cross multiply
    2,604.81x = 3,906.91 × 657.03
  4. Step 4: Simplify right side
    2,604.81x = 2,566,957.08
  5. Step 5: Solve for x
    x = 2,566,957.08/2,604.81
  6. Step 6: Final answer
    x = 985.47

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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.