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Finding the Fourth Proportional to 1,773.24, 2,446.36 and 1,100.73

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Solution

The fourth proportional to 1,773.24, 2,446.36 and 1,100.73 is: 1,518.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.24 : 2,446.36 = 1,100.73 : x
  2. Step 2: Convert to fraction form
    1,773.24/2,446.36 = 1,100.73/x
  3. Step 3: Cross multiply
    1,773.24x = 2,446.36 × 1,100.73
  4. Step 4: Simplify right side
    1,773.24x = 2,692,781.84
  5. Step 5: Solve for x
    x = 2,692,781.84/1,773.24
  6. Step 6: Final answer
    x = 1,518.57

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