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Finding the Fourth Proportional to 2,371.92, 3,558.24 and 811.76

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Solution

The fourth proportional to 2,371.92, 3,558.24 and 811.76 is: 1,217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.92 : 3,558.24 = 811.76 : x
  2. Step 2: Convert to fraction form
    2,371.92/3,558.24 = 811.76/x
  3. Step 3: Cross multiply
    2,371.92x = 3,558.24 × 811.76
  4. Step 4: Simplify right side
    2,371.92x = 2,888,436.90
  5. Step 5: Solve for x
    x = 2,888,436.90/2,371.92
  6. Step 6: Final answer
    x = 1,217.76

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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.