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Finding the Fourth Proportional to 2,278.53, 3,134.97 and 2,214

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Solution

The fourth proportional to 2,278.53, 3,134.97 and 2,214 is: 3,046.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.53 : 3,134.97 = 2,214 : x
  2. Step 2: Convert to fraction form
    2,278.53/3,134.97 = 2,214/x
  3. Step 3: Cross multiply
    2,278.53x = 3,134.97 × 2,214
  4. Step 4: Simplify right side
    2,278.53x = 6,940,823.58
  5. Step 5: Solve for x
    x = 6,940,823.58/2,278.53
  6. Step 6: Final answer
    x = 3,046.18

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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.