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Finding the Fourth Proportional to 3,186.05, 4,396.53 and 1,769.72

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Solution

The fourth proportional to 3,186.05, 4,396.53 and 1,769.72 is: 2,442.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.05 : 4,396.53 = 1,769.72 : x
  2. Step 2: Convert to fraction form
    3,186.05/4,396.53 = 1,769.72/x
  3. Step 3: Cross multiply
    3,186.05x = 4,396.53 × 1,769.72
  4. Step 4: Simplify right side
    3,186.05x = 7,780,627.07
  5. Step 5: Solve for x
    x = 7,780,627.07/3,186.05
  6. Step 6: Final answer
    x = 2,442.09

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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.