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Finding the Fourth Proportional to 1,719.46, 2,577.17 and 793.04

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Solution

The fourth proportional to 1,719.46, 2,577.17 and 793.04 is: 1,188.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.46 : 2,577.17 = 793.04 : x
  2. Step 2: Convert to fraction form
    1,719.46/2,577.17 = 793.04/x
  3. Step 3: Cross multiply
    1,719.46x = 2,577.17 × 793.04
  4. Step 4: Simplify right side
    1,719.46x = 2,043,794.93
  5. Step 5: Solve for x
    x = 2,043,794.93/1,719.46
  6. Step 6: Final answer
    x = 1,188.63

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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.