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Finding the Fourth Proportional to 3,186.83, 4,397.87 and 1,770.55

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Solution

The fourth proportional to 3,186.83, 4,397.87 and 1,770.55 is: 2,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.83 : 4,397.87 = 1,770.55 : x
  2. Step 2: Convert to fraction form
    3,186.83/4,397.87 = 1,770.55/x
  3. Step 3: Cross multiply
    3,186.83x = 4,397.87 × 1,770.55
  4. Step 4: Simplify right side
    3,186.83x = 7,786,642.16
  5. Step 5: Solve for x
    x = 7,786,642.16/3,186.83
  6. Step 6: Final answer
    x = 2,443.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.