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Finding the Fourth Proportional to 2,440.80, 3,659.04 and 2,204.64

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Solution

The fourth proportional to 2,440.80, 3,659.04 and 2,204.64 is: 3,305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.80 : 3,659.04 = 2,204.64 : x
  2. Step 2: Convert to fraction form
    2,440.80/3,659.04 = 2,204.64/x
  3. Step 3: Cross multiply
    2,440.80x = 3,659.04 × 2,204.64
  4. Step 4: Simplify right side
    2,440.80x = 8,066,865.95
  5. Step 5: Solve for x
    x = 8,066,865.95/2,440.80
  6. Step 6: Final answer
    x = 3,305.01

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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.