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Finding the Fourth Proportional to 2,606.78, 3,909.33 and 758.03

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Solution

The fourth proportional to 2,606.78, 3,909.33 and 758.03 is: 1,136.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.78 : 3,909.33 = 758.03 : x
  2. Step 2: Convert to fraction form
    2,606.78/3,909.33 = 758.03/x
  3. Step 3: Cross multiply
    2,606.78x = 3,909.33 × 758.03
  4. Step 4: Simplify right side
    2,606.78x = 2,963,369.87
  5. Step 5: Solve for x
    x = 2,963,369.87/2,606.78
  6. Step 6: Final answer
    x = 1,136.79

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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.