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Finding the Fourth Proportional to 2,606.72, 3,908.24 and 963.06

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Solution

The fourth proportional to 2,606.72, 3,908.24 and 963.06 is: 1,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.72 : 3,908.24 = 963.06 : x
  2. Step 2: Convert to fraction form
    2,606.72/3,908.24 = 963.06/x
  3. Step 3: Cross multiply
    2,606.72x = 3,908.24 × 963.06
  4. Step 4: Simplify right side
    2,606.72x = 3,763,869.61
  5. Step 5: Solve for x
    x = 3,763,869.61/2,606.72
  6. Step 6: Final answer
    x = 1,443.91

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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.