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Finding the Fourth Proportional to 2,260.34, 3,390.86 and 799.17

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Solution

The fourth proportional to 2,260.34, 3,390.86 and 799.17 is: 1,198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.34 : 3,390.86 = 799.17 : x
  2. Step 2: Convert to fraction form
    2,260.34/3,390.86 = 799.17/x
  3. Step 3: Cross multiply
    2,260.34x = 3,390.86 × 799.17
  4. Step 4: Simplify right side
    2,260.34x = 2,709,862.87
  5. Step 5: Solve for x
    x = 2,709,862.87/2,260.34
  6. Step 6: Final answer
    x = 1,198.87

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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.