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Finding the Fourth Proportional to 1,719.68, 2,579.92 and 745.88

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Solution

The fourth proportional to 1,719.68, 2,579.92 and 745.88 is: 1,118.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.68 : 2,579.92 = 745.88 : x
  2. Step 2: Convert to fraction form
    1,719.68/2,579.92 = 745.88/x
  3. Step 3: Cross multiply
    1,719.68x = 2,579.92 × 745.88
  4. Step 4: Simplify right side
    1,719.68x = 1,924,310.73
  5. Step 5: Solve for x
    x = 1,924,310.73/1,719.68
  6. Step 6: Final answer
    x = 1,118.99

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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.