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Finding the Fourth Proportional to 1,892.03, 2,832.06 and 1,542.38

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Solution

The fourth proportional to 1,892.03, 2,832.06 and 1,542.38 is: 2,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.03 : 2,832.06 = 1,542.38 : x
  2. Step 2: Convert to fraction form
    1,892.03/2,832.06 = 1,542.38/x
  3. Step 3: Cross multiply
    1,892.03x = 2,832.06 × 1,542.38
  4. Step 4: Simplify right side
    1,892.03x = 4,368,112.70
  5. Step 5: Solve for x
    x = 4,368,112.70/1,892.03
  6. Step 6: Final answer
    x = 2,308.69

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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.