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Finding the Fourth Proportional to 3,186.86, 4,397.85 and 1,770.48

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Solution

The fourth proportional to 3,186.86, 4,397.85 and 1,770.48 is: 2,443.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.86 : 4,397.85 = 1,770.48 : x
  2. Step 2: Convert to fraction form
    3,186.86/4,397.85 = 1,770.48/x
  3. Step 3: Cross multiply
    3,186.86x = 4,397.85 × 1,770.48
  4. Step 4: Simplify right side
    3,186.86x = 7,786,305.47
  5. Step 5: Solve for x
    x = 7,786,305.47/3,186.86
  6. Step 6: Final answer
    x = 2,443.26

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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.