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Finding the Fourth Proportional to 2,027.78, 2,798.26 and 1,143.46

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Solution

The fourth proportional to 2,027.78, 2,798.26 and 1,143.46 is: 1,577.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.78 : 2,798.26 = 1,143.46 : x
  2. Step 2: Convert to fraction form
    2,027.78/2,798.26 = 1,143.46/x
  3. Step 3: Cross multiply
    2,027.78x = 2,798.26 × 1,143.46
  4. Step 4: Simplify right side
    2,027.78x = 3,199,698.38
  5. Step 5: Solve for x
    x = 3,199,698.38/2,027.78
  6. Step 6: Final answer
    x = 1,577.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.