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Finding the Fourth Proportional to 3,099.79, 4,648.56 and 908.05

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Solution

The fourth proportional to 3,099.79, 4,648.56 and 908.05 is: 1,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.79 : 4,648.56 = 908.05 : x
  2. Step 2: Convert to fraction form
    3,099.79/4,648.56 = 908.05/x
  3. Step 3: Cross multiply
    3,099.79x = 4,648.56 × 908.05
  4. Step 4: Simplify right side
    3,099.79x = 4,221,124.91
  5. Step 5: Solve for x
    x = 4,221,124.91/3,099.79
  6. Step 6: Final answer
    x = 1,361.75

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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.