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Finding the Fourth Proportional to 3,186.06, 4,396.88 and 1,769.65

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Solution

The fourth proportional to 3,186.06, 4,396.88 and 1,769.65 is: 2,442.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.06 : 4,396.88 = 1,769.65 : x
  2. Step 2: Convert to fraction form
    3,186.06/4,396.88 = 1,769.65/x
  3. Step 3: Cross multiply
    3,186.06x = 4,396.88 × 1,769.65
  4. Step 4: Simplify right side
    3,186.06x = 7,780,932.12
  5. Step 5: Solve for x
    x = 7,780,932.12/3,186.06
  6. Step 6: Final answer
    x = 2,442.18

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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.