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Finding the Fourth Proportional to 2,443.74, 3,665.86 and 799.90

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Solution

The fourth proportional to 2,443.74, 3,665.86 and 799.90 is: 1,199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.74 : 3,665.86 = 799.90 : x
  2. Step 2: Convert to fraction form
    2,443.74/3,665.86 = 799.90/x
  3. Step 3: Cross multiply
    2,443.74x = 3,665.86 × 799.90
  4. Step 4: Simplify right side
    2,443.74x = 2,932,320.56
  5. Step 5: Solve for x
    x = 2,932,320.56/2,443.74
  6. Step 6: Final answer
    x = 1,199.93

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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.