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Finding the Fourth Proportional to 3,191.78, 4,777.41 and 1,707.29

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Solution

The fourth proportional to 3,191.78, 4,777.41 and 1,707.29 is: 2,555.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.78 : 4,777.41 = 1,707.29 : x
  2. Step 2: Convert to fraction form
    3,191.78/4,777.41 = 1,707.29/x
  3. Step 3: Cross multiply
    3,191.78x = 4,777.41 × 1,707.29
  4. Step 4: Simplify right side
    3,191.78x = 8,156,400.43
  5. Step 5: Solve for x
    x = 8,156,400.43/3,191.78
  6. Step 6: Final answer
    x = 2,555.44

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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.