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Finding the Fourth Proportional to 1,719.20, 2,579.26 and 794.00

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Solution

The fourth proportional to 1,719.20, 2,579.26 and 794.00 is: 1,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.20 : 2,579.26 = 794.00 : x
  2. Step 2: Convert to fraction form
    1,719.20/2,579.26 = 794.00/x
  3. Step 3: Cross multiply
    1,719.20x = 2,579.26 × 794.00
  4. Step 4: Simplify right side
    1,719.20x = 2,047,919.54
  5. Step 5: Solve for x
    x = 2,047,919.54/1,719.20
  6. Step 6: Final answer
    x = 1,191.21

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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.