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Finding the Fourth Proportional to 1,719.17, 2,578.80 and 679.13

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Solution

The fourth proportional to 1,719.17, 2,578.80 and 679.13 is: 1,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.17 : 2,578.80 = 679.13 : x
  2. Step 2: Convert to fraction form
    1,719.17/2,578.80 = 679.13/x
  3. Step 3: Cross multiply
    1,719.17x = 2,578.80 × 679.13
  4. Step 4: Simplify right side
    1,719.17x = 1,751,340.44
  5. Step 5: Solve for x
    x = 1,751,340.44/1,719.17
  6. Step 6: Final answer
    x = 1,018.71

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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.