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Finding the Fourth Proportional to 3,106.81, 4,660.17 and 917.02

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Solution

The fourth proportional to 3,106.81, 4,660.17 and 917.02 is: 1,375.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.81 : 4,660.17 = 917.02 : x
  2. Step 2: Convert to fraction form
    3,106.81/4,660.17 = 917.02/x
  3. Step 3: Cross multiply
    3,106.81x = 4,660.17 × 917.02
  4. Step 4: Simplify right side
    3,106.81x = 4,273,469.09
  5. Step 5: Solve for x
    x = 4,273,469.09/3,106.81
  6. Step 6: Final answer
    x = 1,375.52

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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.