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Finding the Fourth Proportional to 2,284.73, 3,427.18 and 641.41

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Solution

The fourth proportional to 2,284.73, 3,427.18 and 641.41 is: 962.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.73 : 3,427.18 = 641.41 : x
  2. Step 2: Convert to fraction form
    2,284.73/3,427.18 = 641.41/x
  3. Step 3: Cross multiply
    2,284.73x = 3,427.18 × 641.41
  4. Step 4: Simplify right side
    2,284.73x = 2,198,215.92
  5. Step 5: Solve for x
    x = 2,198,215.92/2,284.73
  6. Step 6: Final answer
    x = 962.13

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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.