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Finding the Fourth Proportional to 2,443.79, 3,666.06 and 799.79

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Solution

The fourth proportional to 2,443.79, 3,666.06 and 799.79 is: 1,199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.79 : 3,666.06 = 799.79 : x
  2. Step 2: Convert to fraction form
    2,443.79/3,666.06 = 799.79/x
  3. Step 3: Cross multiply
    2,443.79x = 3,666.06 × 799.79
  4. Step 4: Simplify right side
    2,443.79x = 2,932,078.13
  5. Step 5: Solve for x
    x = 2,932,078.13/2,443.79
  6. Step 6: Final answer
    x = 1,199.81

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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.