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Finding the Fourth Proportional to 3,185.91, 4,776.79 and 1,105.75

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Solution

The fourth proportional to 3,185.91, 4,776.79 and 1,105.75 is: 1,657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.91 : 4,776.79 = 1,105.75 : x
  2. Step 2: Convert to fraction form
    3,185.91/4,776.79 = 1,105.75/x
  3. Step 3: Cross multiply
    3,185.91x = 4,776.79 × 1,105.75
  4. Step 4: Simplify right side
    3,185.91x = 5,281,932.78
  5. Step 5: Solve for x
    x = 5,281,932.78/3,185.91
  6. Step 6: Final answer
    x = 1,657.91

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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.