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Finding the Fourth Proportional to 1,822.76, 2,734.20 and 506.62

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Solution

The fourth proportional to 1,822.76, 2,734.20 and 506.62 is: 759.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.76 : 2,734.20 = 506.62 : x
  2. Step 2: Convert to fraction form
    1,822.76/2,734.20 = 506.62/x
  3. Step 3: Cross multiply
    1,822.76x = 2,734.20 × 506.62
  4. Step 4: Simplify right side
    1,822.76x = 1,385,200.40
  5. Step 5: Solve for x
    x = 1,385,200.40/1,822.76
  6. Step 6: Final answer
    x = 759.95

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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.