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Finding the Fourth Proportional to 1,773.66, 2,447.67 and 1,027.67

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Solution

The fourth proportional to 1,773.66, 2,447.67 and 1,027.67 is: 1,418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.66 : 2,447.67 = 1,027.67 : x
  2. Step 2: Convert to fraction form
    1,773.66/2,447.67 = 1,027.67/x
  3. Step 3: Cross multiply
    1,773.66x = 2,447.67 × 1,027.67
  4. Step 4: Simplify right side
    1,773.66x = 2,515,390.91
  5. Step 5: Solve for x
    x = 2,515,390.91/1,773.66
  6. Step 6: Final answer
    x = 1,418.20

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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.