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Finding the Fourth Proportional to 2,122.17, 3,183.81 and 873.15

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Solution

The fourth proportional to 2,122.17, 3,183.81 and 873.15 is: 1,309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.17 : 3,183.81 = 873.15 : x
  2. Step 2: Convert to fraction form
    2,122.17/3,183.81 = 873.15/x
  3. Step 3: Cross multiply
    2,122.17x = 3,183.81 × 873.15
  4. Step 4: Simplify right side
    2,122.17x = 2,779,943.70
  5. Step 5: Solve for x
    x = 2,779,943.70/2,122.17
  6. Step 6: Final answer
    x = 1,309.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.