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Finding the Fourth Proportional to 2,282.69, 3,422.90 and 1,186.73

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Solution

The fourth proportional to 2,282.69, 3,422.90 and 1,186.73 is: 1,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.69 : 3,422.90 = 1,186.73 : x
  2. Step 2: Convert to fraction form
    2,282.69/3,422.90 = 1,186.73/x
  3. Step 3: Cross multiply
    2,282.69x = 3,422.90 × 1,186.73
  4. Step 4: Simplify right side
    2,282.69x = 4,062,052.18
  5. Step 5: Solve for x
    x = 4,062,052.18/2,282.69
  6. Step 6: Final answer
    x = 1,779.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.