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Finding the Fourth Proportional to 3,186.62, 4,396.98 and 1,770.08

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Solution

The fourth proportional to 3,186.62, 4,396.98 and 1,770.08 is: 2,442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.62 : 4,396.98 = 1,770.08 : x
  2. Step 2: Convert to fraction form
    3,186.62/4,396.98 = 1,770.08/x
  3. Step 3: Cross multiply
    3,186.62x = 4,396.98 × 1,770.08
  4. Step 4: Simplify right side
    3,186.62x = 7,783,006.36
  5. Step 5: Solve for x
    x = 7,783,006.36/3,186.62
  6. Step 6: Final answer
    x = 2,442.40

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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.