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Finding the Fourth Proportional to 2,194.92, 3,288.54 and 1,281

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Solution

The fourth proportional to 2,194.92, 3,288.54 and 1,281 is: 1,919.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.92 : 3,288.54 = 1,281 : x
  2. Step 2: Convert to fraction form
    2,194.92/3,288.54 = 1,281/x
  3. Step 3: Cross multiply
    2,194.92x = 3,288.54 × 1,281
  4. Step 4: Simplify right side
    2,194.92x = 4,212,619.74
  5. Step 5: Solve for x
    x = 4,212,619.74/2,194.92
  6. Step 6: Final answer
    x = 1,919.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.