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Finding the Fourth Proportional to 2,277.38, 3,142.86 and 1,282.86

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Solution

The fourth proportional to 2,277.38, 3,142.86 and 1,282.86 is: 1,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.38 : 3,142.86 = 1,282.86 : x
  2. Step 2: Convert to fraction form
    2,277.38/3,142.86 = 1,282.86/x
  3. Step 3: Cross multiply
    2,277.38x = 3,142.86 × 1,282.86
  4. Step 4: Simplify right side
    2,277.38x = 4,031,849.38
  5. Step 5: Solve for x
    x = 4,031,849.38/2,277.38
  6. Step 6: Final answer
    x = 1,770.39

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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.