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Finding the Fourth Proportional to 3,186.58, 4,397.30 and 1,770.24

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Solution

The fourth proportional to 3,186.58, 4,397.30 and 1,770.24 is: 2,442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.58 : 4,397.30 = 1,770.24 : x
  2. Step 2: Convert to fraction form
    3,186.58/4,397.30 = 1,770.24/x
  3. Step 3: Cross multiply
    3,186.58x = 4,397.30 × 1,770.24
  4. Step 4: Simplify right side
    3,186.58x = 7,784,276.35
  5. Step 5: Solve for x
    x = 7,784,276.35/3,186.58
  6. Step 6: Final answer
    x = 2,442.83

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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.