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Finding the Fourth Proportional to 3,186.90, 4,398.03 and 1,770.66

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Solution

The fourth proportional to 3,186.90, 4,398.03 and 1,770.66 is: 2,443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.90 : 4,398.03 = 1,770.66 : x
  2. Step 2: Convert to fraction form
    3,186.90/4,398.03 = 1,770.66/x
  3. Step 3: Cross multiply
    3,186.90x = 4,398.03 × 1,770.66
  4. Step 4: Simplify right side
    3,186.90x = 7,787,415.80
  5. Step 5: Solve for x
    x = 7,787,415.80/3,186.90
  6. Step 6: Final answer
    x = 2,443.57

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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.