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Finding the Fourth Proportional to 3,183.04, 4,775.20 and 992.16

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Solution

The fourth proportional to 3,183.04, 4,775.20 and 992.16 is: 1,488.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.04 : 4,775.20 = 992.16 : x
  2. Step 2: Convert to fraction form
    3,183.04/4,775.20 = 992.16/x
  3. Step 3: Cross multiply
    3,183.04x = 4,775.20 × 992.16
  4. Step 4: Simplify right side
    3,183.04x = 4,737,762.43
  5. Step 5: Solve for x
    x = 4,737,762.43/3,183.04
  6. Step 6: Final answer
    x = 1,488.44

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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.