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Finding the Fourth Proportional to 3,185.44, 4,395.85 and 1,769.13

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Solution

The fourth proportional to 3,185.44, 4,395.85 and 1,769.13 is: 2,441.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.44 : 4,395.85 = 1,769.13 : x
  2. Step 2: Convert to fraction form
    3,185.44/4,395.85 = 1,769.13/x
  3. Step 3: Cross multiply
    3,185.44x = 4,395.85 × 1,769.13
  4. Step 4: Simplify right side
    3,185.44x = 7,776,830.11
  5. Step 5: Solve for x
    x = 7,776,830.11/3,185.44
  6. Step 6: Final answer
    x = 2,441.37

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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.