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Finding the Fourth Proportional to 2,371.70, 3,269.97 and 1,811.30

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Solution

The fourth proportional to 2,371.70, 3,269.97 and 1,811.30 is: 2,497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.70 : 3,269.97 = 1,811.30 : x
  2. Step 2: Convert to fraction form
    2,371.70/3,269.97 = 1,811.30/x
  3. Step 3: Cross multiply
    2,371.70x = 3,269.97 × 1,811.30
  4. Step 4: Simplify right side
    2,371.70x = 5,922,880.31
  5. Step 5: Solve for x
    x = 5,922,880.31/2,371.70
  6. Step 6: Final answer
    x = 2,497.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.