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Finding the Fourth Proportional to 2,441.72, 3,659.80 and 979.16

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Solution

The fourth proportional to 2,441.72, 3,659.80 and 979.16 is: 1,467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.72 : 3,659.80 = 979.16 : x
  2. Step 2: Convert to fraction form
    2,441.72/3,659.80 = 979.16/x
  3. Step 3: Cross multiply
    2,441.72x = 3,659.80 × 979.16
  4. Step 4: Simplify right side
    2,441.72x = 3,583,529.77
  5. Step 5: Solve for x
    x = 3,583,529.77/2,441.72
  6. Step 6: Final answer
    x = 1,467.63

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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.