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Finding the Fourth Proportional to 2,277.91, 3,142.96 and 1,282.83

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Solution

The fourth proportional to 2,277.91, 3,142.96 and 1,282.83 is: 1,769.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.91 : 3,142.96 = 1,282.83 : x
  2. Step 2: Convert to fraction form
    2,277.91/3,142.96 = 1,282.83/x
  3. Step 3: Cross multiply
    2,277.91x = 3,142.96 × 1,282.83
  4. Step 4: Simplify right side
    2,277.91x = 4,031,883.38
  5. Step 5: Solve for x
    x = 4,031,883.38/2,277.91
  6. Step 6: Final answer
    x = 1,769.99

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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.