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Finding the Fourth Proportional to 2,443.56, 3,664.58 and 799.74

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Solution

The fourth proportional to 2,443.56, 3,664.58 and 799.74 is: 1,199.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.56 : 3,664.58 = 799.74 : x
  2. Step 2: Convert to fraction form
    2,443.56/3,664.58 = 799.74/x
  3. Step 3: Cross multiply
    2,443.56x = 3,664.58 × 799.74
  4. Step 4: Simplify right side
    2,443.56x = 2,930,722.37
  5. Step 5: Solve for x
    x = 2,930,722.37/2,443.56
  6. Step 6: Final answer
    x = 1,199.36

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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.