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Finding the Fourth Proportional to 3,302, 4,954.92 and 1,478

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Solution

The fourth proportional to 3,302, 4,954.92 and 1,478 is: 2,217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302 : 4,954.92 = 1,478 : x
  2. Step 2: Convert to fraction form
    3,302/4,954.92 = 1,478/x
  3. Step 3: Cross multiply
    3,302x = 4,954.92 × 1,478
  4. Step 4: Simplify right side
    3,302x = 7,323,371.76
  5. Step 5: Solve for x
    x = 7,323,371.76/3,302
  6. Step 6: Final answer
    x = 2,217.86

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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.