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Finding the Fourth Proportional to 3,240.80, 4,864.80 and 2,009.60

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Solution

The fourth proportional to 3,240.80, 4,864.80 and 2,009.60 is: 3,016.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240.80 : 4,864.80 = 2,009.60 : x
  2. Step 2: Convert to fraction form
    3,240.80/4,864.80 = 2,009.60/x
  3. Step 3: Cross multiply
    3,240.80x = 4,864.80 × 2,009.60
  4. Step 4: Simplify right side
    3,240.80x = 9,776,302.08
  5. Step 5: Solve for x
    x = 9,776,302.08/3,240.80
  6. Step 6: Final answer
    x = 3,016.63

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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.