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Finding the Fourth Proportional to 2,371.48, 3,557.76 and 811.78

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Solution

The fourth proportional to 2,371.48, 3,557.76 and 811.78 is: 1,217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.48 : 3,557.76 = 811.78 : x
  2. Step 2: Convert to fraction form
    2,371.48/3,557.76 = 811.78/x
  3. Step 3: Cross multiply
    2,371.48x = 3,557.76 × 811.78
  4. Step 4: Simplify right side
    2,371.48x = 2,888,118.41
  5. Step 5: Solve for x
    x = 2,888,118.41/2,371.48
  6. Step 6: Final answer
    x = 1,217.85

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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.