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Finding the Fourth Proportional to 2,260.45, 3,390.78 and 799.75

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Solution

The fourth proportional to 2,260.45, 3,390.78 and 799.75 is: 1,199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.45 : 3,390.78 = 799.75 : x
  2. Step 2: Convert to fraction form
    2,260.45/3,390.78 = 799.75/x
  3. Step 3: Cross multiply
    2,260.45x = 3,390.78 × 799.75
  4. Step 4: Simplify right side
    2,260.45x = 2,711,776.31
  5. Step 5: Solve for x
    x = 2,711,776.31/2,260.45
  6. Step 6: Final answer
    x = 1,199.66

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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.