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Finding the Fourth Proportional to 3,191.97, 4,783.51 and 1,785.11

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Solution

The fourth proportional to 3,191.97, 4,783.51 and 1,785.11 is: 2,675.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.97 : 4,783.51 = 1,785.11 : x
  2. Step 2: Convert to fraction form
    3,191.97/4,783.51 = 1,785.11/x
  3. Step 3: Cross multiply
    3,191.97x = 4,783.51 × 1,785.11
  4. Step 4: Simplify right side
    3,191.97x = 8,539,091.54
  5. Step 5: Solve for x
    x = 8,539,091.54/3,191.97
  6. Step 6: Final answer
    x = 2,675.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.