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Finding the Fourth Proportional to 2,606.08, 3,906.42 and 1,954.84

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Solution

The fourth proportional to 2,606.08, 3,906.42 and 1,954.84 is: 2,930.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.08 : 3,906.42 = 1,954.84 : x
  2. Step 2: Convert to fraction form
    2,606.08/3,906.42 = 1,954.84/x
  3. Step 3: Cross multiply
    2,606.08x = 3,906.42 × 1,954.84
  4. Step 4: Simplify right side
    2,606.08x = 7,636,426.07
  5. Step 5: Solve for x
    x = 7,636,426.07/2,606.08
  6. Step 6: Final answer
    x = 2,930.23

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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.