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Finding the Fourth Proportional to 3,186.34, 4,397 and 1,770.12

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Solution

The fourth proportional to 3,186.34, 4,397 and 1,770.12 is: 2,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.34 : 4,397 = 1,770.12 : x
  2. Step 2: Convert to fraction form
    3,186.34/4,397 = 1,770.12/x
  3. Step 3: Cross multiply
    3,186.34x = 4,397 × 1,770.12
  4. Step 4: Simplify right side
    3,186.34x = 7,783,217.64
  5. Step 5: Solve for x
    x = 7,783,217.64/3,186.34
  6. Step 6: Final answer
    x = 2,442.68

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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.