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Finding the Fourth Proportional to 1,773.67, 2,447.66 and 1,027.77

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Solution

The fourth proportional to 1,773.67, 2,447.66 and 1,027.77 is: 1,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.67 : 2,447.66 = 1,027.77 : x
  2. Step 2: Convert to fraction form
    1,773.67/2,447.66 = 1,027.77/x
  3. Step 3: Cross multiply
    1,773.67x = 2,447.66 × 1,027.77
  4. Step 4: Simplify right side
    1,773.67x = 2,515,636.01
  5. Step 5: Solve for x
    x = 2,515,636.01/1,773.67
  6. Step 6: Final answer
    x = 1,418.32

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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.