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Finding the Fourth Proportional to 2,217.68, 3,059.84 and 1,286

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Solution

The fourth proportional to 2,217.68, 3,059.84 and 1,286 is: 1,774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.68 : 3,059.84 = 1,286 : x
  2. Step 2: Convert to fraction form
    2,217.68/3,059.84 = 1,286/x
  3. Step 3: Cross multiply
    2,217.68x = 3,059.84 × 1,286
  4. Step 4: Simplify right side
    2,217.68x = 3,934,954.24
  5. Step 5: Solve for x
    x = 3,934,954.24/2,217.68
  6. Step 6: Final answer
    x = 1,774.36

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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.