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Finding the Fourth Proportional to 2,104.29, 3,156.84 and 717.57

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Solution

The fourth proportional to 2,104.29, 3,156.84 and 717.57 is: 1,076.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.29 : 3,156.84 = 717.57 : x
  2. Step 2: Convert to fraction form
    2,104.29/3,156.84 = 717.57/x
  3. Step 3: Cross multiply
    2,104.29x = 3,156.84 × 717.57
  4. Step 4: Simplify right side
    2,104.29x = 2,265,253.68
  5. Step 5: Solve for x
    x = 2,265,253.68/2,104.29
  6. Step 6: Final answer
    x = 1,076.49

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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.