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Finding the Fourth Proportional to 3,202.46, 4,418.16 and 2,365.16

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Solution

The fourth proportional to 3,202.46, 4,418.16 and 2,365.16 is: 3,263.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.46 : 4,418.16 = 2,365.16 : x
  2. Step 2: Convert to fraction form
    3,202.46/4,418.16 = 2,365.16/x
  3. Step 3: Cross multiply
    3,202.46x = 4,418.16 × 2,365.16
  4. Step 4: Simplify right side
    3,202.46x = 10,449,633.21
  5. Step 5: Solve for x
    x = 10,449,633.21/3,202.46
  6. Step 6: Final answer
    x = 3,263.01

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Why These Related Problems?

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