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Finding the Fourth Proportional to 2,440.02, 3,659.34 and 796.20

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Solution

The fourth proportional to 2,440.02, 3,659.34 and 796.20 is: 1,194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.02 : 3,659.34 = 796.20 : x
  2. Step 2: Convert to fraction form
    2,440.02/3,659.34 = 796.20/x
  3. Step 3: Cross multiply
    2,440.02x = 3,659.34 × 796.20
  4. Step 4: Simplify right side
    2,440.02x = 2,913,566.51
  5. Step 5: Solve for x
    x = 2,913,566.51/2,440.02
  6. Step 6: Final answer
    x = 1,194.07

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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.