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Finding the Fourth Proportional to 2,371.74, 3,272.77 and 1,323.87

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Solution

The fourth proportional to 2,371.74, 3,272.77 and 1,323.87 is: 1,826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.74 : 3,272.77 = 1,323.87 : x
  2. Step 2: Convert to fraction form
    2,371.74/3,272.77 = 1,323.87/x
  3. Step 3: Cross multiply
    2,371.74x = 3,272.77 × 1,323.87
  4. Step 4: Simplify right side
    2,371.74x = 4,332,722.02
  5. Step 5: Solve for x
    x = 4,332,722.02/2,371.74
  6. Step 6: Final answer
    x = 1,826.81

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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.