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Finding the Fourth Proportional to 1,832.68, 2,728.96 and 1,806.49

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Solution

The fourth proportional to 1,832.68, 2,728.96 and 1,806.49 is: 2,689.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.68 : 2,728.96 = 1,806.49 : x
  2. Step 2: Convert to fraction form
    1,832.68/2,728.96 = 1,806.49/x
  3. Step 3: Cross multiply
    1,832.68x = 2,728.96 × 1,806.49
  4. Step 4: Simplify right side
    1,832.68x = 4,929,838.95
  5. Step 5: Solve for x
    x = 4,929,838.95/1,832.68
  6. Step 6: Final answer
    x = 2,689.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.