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Finding the Fourth Proportional to 1,902.20, 2,853.82 and 1,902.20

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Solution

The fourth proportional to 1,902.20, 2,853.82 and 1,902.20 is: 2,853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.20 : 2,853.82 = 1,902.20 : x
  2. Step 2: Convert to fraction form
    1,902.20/2,853.82 = 1,902.20/x
  3. Step 3: Cross multiply
    1,902.20x = 2,853.82 × 1,902.20
  4. Step 4: Simplify right side
    1,902.20x = 5,428,536.40
  5. Step 5: Solve for x
    x = 5,428,536.40/1,902.20
  6. Step 6: Final answer
    x = 2,853.82

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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.