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Finding the Fourth Proportional to 3,100.75, 4,277.82 and 1,773.74

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Solution

The fourth proportional to 3,100.75, 4,277.82 and 1,773.74 is: 2,447.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.75 : 4,277.82 = 1,773.74 : x
  2. Step 2: Convert to fraction form
    3,100.75/4,277.82 = 1,773.74/x
  3. Step 3: Cross multiply
    3,100.75x = 4,277.82 × 1,773.74
  4. Step 4: Simplify right side
    3,100.75x = 7,587,740.45
  5. Step 5: Solve for x
    x = 7,587,740.45/3,100.75
  6. Step 6: Final answer
    x = 2,447.07

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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.