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Finding the Fourth Proportional to 2,743.77, 3,785.16 and 1,906.48

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Solution

The fourth proportional to 2,743.77, 3,785.16 and 1,906.48 is: 2,630.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.77 : 3,785.16 = 1,906.48 : x
  2. Step 2: Convert to fraction form
    2,743.77/3,785.16 = 1,906.48/x
  3. Step 3: Cross multiply
    2,743.77x = 3,785.16 × 1,906.48
  4. Step 4: Simplify right side
    2,743.77x = 7,216,336.60
  5. Step 5: Solve for x
    x = 7,216,336.60/2,743.77
  6. Step 6: Final answer
    x = 2,630.08

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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.