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Finding the Fourth Proportional to 3,022.71, 4,532.23 and 1,377.70

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Solution

The fourth proportional to 3,022.71, 4,532.23 and 1,377.70 is: 2,065.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.71 : 4,532.23 = 1,377.70 : x
  2. Step 2: Convert to fraction form
    3,022.71/4,532.23 = 1,377.70/x
  3. Step 3: Cross multiply
    3,022.71x = 4,532.23 × 1,377.70
  4. Step 4: Simplify right side
    3,022.71x = 6,244,053.27
  5. Step 5: Solve for x
    x = 6,244,053.27/3,022.71
  6. Step 6: Final answer
    x = 2,065.71

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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.