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Finding the Fourth Proportional to 4,121.79, 6,183.02 and 1,656.29

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Solution

The fourth proportional to 4,121.79, 6,183.02 and 1,656.29 is: 2,484.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.79 : 6,183.02 = 1,656.29 : x
  2. Step 2: Convert to fraction form
    4,121.79/6,183.02 = 1,656.29/x
  3. Step 3: Cross multiply
    4,121.79x = 6,183.02 × 1,656.29
  4. Step 4: Simplify right side
    4,121.79x = 10,240,874.20
  5. Step 5: Solve for x
    x = 10,240,874.20/4,121.79
  6. Step 6: Final answer
    x = 2,484.57

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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.