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Finding the Fourth Proportional to 3,186.70, 4,397.49 and 1,770.47

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Solution

The fourth proportional to 3,186.70, 4,397.49 and 1,770.47 is: 2,443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.70 : 4,397.49 = 1,770.47 : x
  2. Step 2: Convert to fraction form
    3,186.70/4,397.49 = 1,770.47/x
  3. Step 3: Cross multiply
    3,186.70x = 4,397.49 × 1,770.47
  4. Step 4: Simplify right side
    3,186.70x = 7,785,624.12
  5. Step 5: Solve for x
    x = 7,785,624.12/3,186.70
  6. Step 6: Final answer
    x = 2,443.16

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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.