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Finding the Fourth Proportional to 2,182, 3,011.14 and 1,297.78

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Solution

The fourth proportional to 2,182, 3,011.14 and 1,297.78 is: 1,790.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182 : 3,011.14 = 1,297.78 : x
  2. Step 2: Convert to fraction form
    2,182/3,011.14 = 1,297.78/x
  3. Step 3: Cross multiply
    2,182x = 3,011.14 × 1,297.78
  4. Step 4: Simplify right side
    2,182x = 3,907,797.27
  5. Step 5: Solve for x
    x = 3,907,797.27/2,182
  6. Step 6: Final answer
    x = 1,790.92

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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.