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Finding the Fourth Proportional to 2,214.82, 3,323.35 and 1,694.50

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Solution

The fourth proportional to 2,214.82, 3,323.35 and 1,694.50 is: 2,542.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.82 : 3,323.35 = 1,694.50 : x
  2. Step 2: Convert to fraction form
    2,214.82/3,323.35 = 1,694.50/x
  3. Step 3: Cross multiply
    2,214.82x = 3,323.35 × 1,694.50
  4. Step 4: Simplify right side
    2,214.82x = 5,631,416.58
  5. Step 5: Solve for x
    x = 5,631,416.58/2,214.82
  6. Step 6: Final answer
    x = 2,542.61

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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.