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Finding the Fourth Proportional to 1,773.66, 2,447.73 and 1,027.56

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Solution

The fourth proportional to 1,773.66, 2,447.73 and 1,027.56 is: 1,418.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.66 : 2,447.73 = 1,027.56 : x
  2. Step 2: Convert to fraction form
    1,773.66/2,447.73 = 1,027.56/x
  3. Step 3: Cross multiply
    1,773.66x = 2,447.73 × 1,027.56
  4. Step 4: Simplify right side
    1,773.66x = 2,515,189.44
  5. Step 5: Solve for x
    x = 2,515,189.44/1,773.66
  6. Step 6: Final answer
    x = 1,418.08

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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.