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Finding the Fourth Proportional to 2,105.87, 3,158.81 and 545.76

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Solution

The fourth proportional to 2,105.87, 3,158.81 and 545.76 is: 818.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.87 : 3,158.81 = 545.76 : x
  2. Step 2: Convert to fraction form
    2,105.87/3,158.81 = 545.76/x
  3. Step 3: Cross multiply
    2,105.87x = 3,158.81 × 545.76
  4. Step 4: Simplify right side
    2,105.87x = 1,723,952.15
  5. Step 5: Solve for x
    x = 1,723,952.15/2,105.87
  6. Step 6: Final answer
    x = 818.64

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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.