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Finding the Fourth Proportional to 2,182.42, 3,012.13 and 1,396.44

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Solution

The fourth proportional to 2,182.42, 3,012.13 and 1,396.44 is: 1,927.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.42 : 3,012.13 = 1,396.44 : x
  2. Step 2: Convert to fraction form
    2,182.42/3,012.13 = 1,396.44/x
  3. Step 3: Cross multiply
    2,182.42x = 3,012.13 × 1,396.44
  4. Step 4: Simplify right side
    2,182.42x = 4,206,258.82
  5. Step 5: Solve for x
    x = 4,206,258.82/2,182.42
  6. Step 6: Final answer
    x = 1,927.34

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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.