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Finding the Fourth Proportional to 3,121.96, 4,680.24 and 1,477.68

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Solution

The fourth proportional to 3,121.96, 4,680.24 and 1,477.68 is: 2,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.96 : 4,680.24 = 1,477.68 : x
  2. Step 2: Convert to fraction form
    3,121.96/4,680.24 = 1,477.68/x
  3. Step 3: Cross multiply
    3,121.96x = 4,680.24 × 1,477.68
  4. Step 4: Simplify right side
    3,121.96x = 6,915,897.04
  5. Step 5: Solve for x
    x = 6,915,897.04/3,121.96
  6. Step 6: Final answer
    x = 2,215.24

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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.