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Finding the Fourth Proportional to 2,604.58, 3,902.32 and 2,168.63

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Solution

The fourth proportional to 2,604.58, 3,902.32 and 2,168.63 is: 3,249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.58 : 3,902.32 = 2,168.63 : x
  2. Step 2: Convert to fraction form
    2,604.58/3,902.32 = 2,168.63/x
  3. Step 3: Cross multiply
    2,604.58x = 3,902.32 × 2,168.63
  4. Step 4: Simplify right side
    2,604.58x = 8,462,695.81
  5. Step 5: Solve for x
    x = 8,462,695.81/2,604.58
  6. Step 6: Final answer
    x = 3,249.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.