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Finding the Fourth Proportional to 2,260.62, 3,390.99 and 799.44

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Solution

The fourth proportional to 2,260.62, 3,390.99 and 799.44 is: 1,199.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.62 : 3,390.99 = 799.44 : x
  2. Step 2: Convert to fraction form
    2,260.62/3,390.99 = 799.44/x
  3. Step 3: Cross multiply
    2,260.62x = 3,390.99 × 799.44
  4. Step 4: Simplify right side
    2,260.62x = 2,710,893.05
  5. Step 5: Solve for x
    x = 2,710,893.05/2,260.62
  6. Step 6: Final answer
    x = 1,199.18

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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.