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Finding the Fourth Proportional to 2,371.64, 3,273 and 1,323.71

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Solution

The fourth proportional to 2,371.64, 3,273 and 1,323.71 is: 1,826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.64 : 3,273 = 1,323.71 : x
  2. Step 2: Convert to fraction form
    2,371.64/3,273 = 1,323.71/x
  3. Step 3: Cross multiply
    2,371.64x = 3,273 × 1,323.71
  4. Step 4: Simplify right side
    2,371.64x = 4,332,502.83
  5. Step 5: Solve for x
    x = 4,332,502.83/2,371.64
  6. Step 6: Final answer
    x = 1,826.80

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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.