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Finding the Fourth Proportional to 3,203.40, 4,415.16 and 2,640.48

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Solution

The fourth proportional to 3,203.40, 4,415.16 and 2,640.48 is: 3,639.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.40 : 4,415.16 = 2,640.48 : x
  2. Step 2: Convert to fraction form
    3,203.40/4,415.16 = 2,640.48/x
  3. Step 3: Cross multiply
    3,203.40x = 4,415.16 × 2,640.48
  4. Step 4: Simplify right side
    3,203.40x = 11,658,141.68
  5. Step 5: Solve for x
    x = 11,658,141.68/3,203.40
  6. Step 6: Final answer
    x = 3,639.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.