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Finding the Fourth Proportional to 2,260.51, 3,391.07 and 799.17

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Solution

The fourth proportional to 2,260.51, 3,391.07 and 799.17 is: 1,198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.51 : 3,391.07 = 799.17 : x
  2. Step 2: Convert to fraction form
    2,260.51/3,391.07 = 799.17/x
  3. Step 3: Cross multiply
    2,260.51x = 3,391.07 × 799.17
  4. Step 4: Simplify right side
    2,260.51x = 2,710,024.70
  5. Step 5: Solve for x
    x = 2,710,024.70/2,260.51
  6. Step 6: Final answer
    x = 1,198.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.