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Finding the Fourth Proportional to 1,843.64, 2,766.02 and 545.12

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Solution

The fourth proportional to 1,843.64, 2,766.02 and 545.12 is: 817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.64 : 2,766.02 = 545.12 : x
  2. Step 2: Convert to fraction form
    1,843.64/2,766.02 = 545.12/x
  3. Step 3: Cross multiply
    1,843.64x = 2,766.02 × 545.12
  4. Step 4: Simplify right side
    1,843.64x = 1,507,812.82
  5. Step 5: Solve for x
    x = 1,507,812.82/1,843.64
  6. Step 6: Final answer
    x = 817.85

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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.