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Finding the Fourth Proportional to 2,606.48, 3,908.30 and 940.38

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Solution

The fourth proportional to 2,606.48, 3,908.30 and 940.38 is: 1,410.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.48 : 3,908.30 = 940.38 : x
  2. Step 2: Convert to fraction form
    2,606.48/3,908.30 = 940.38/x
  3. Step 3: Cross multiply
    2,606.48x = 3,908.30 × 940.38
  4. Step 4: Simplify right side
    2,606.48x = 3,675,287.15
  5. Step 5: Solve for x
    x = 3,675,287.15/2,606.48
  6. Step 6: Final answer
    x = 1,410.06

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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.