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Finding the Fourth Proportional to 1,933.17, 2,914.03 and 1,820.27

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Solution

The fourth proportional to 1,933.17, 2,914.03 and 1,820.27 is: 2,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.17 : 2,914.03 = 1,820.27 : x
  2. Step 2: Convert to fraction form
    1,933.17/2,914.03 = 1,820.27/x
  3. Step 3: Cross multiply
    1,933.17x = 2,914.03 × 1,820.27
  4. Step 4: Simplify right side
    1,933.17x = 5,304,320.71
  5. Step 5: Solve for x
    x = 5,304,320.71/1,933.17
  6. Step 6: Final answer
    x = 2,743.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.