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Finding the Fourth Proportional to 1,843.66, 2,765.94 and 545.14

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Solution

The fourth proportional to 1,843.66, 2,765.94 and 545.14 is: 817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.66 : 2,765.94 = 545.14 : x
  2. Step 2: Convert to fraction form
    1,843.66/2,765.94 = 545.14/x
  3. Step 3: Cross multiply
    1,843.66x = 2,765.94 × 545.14
  4. Step 4: Simplify right side
    1,843.66x = 1,507,824.53
  5. Step 5: Solve for x
    x = 1,507,824.53/1,843.66
  6. Step 6: Final answer
    x = 817.84

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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.