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Finding the Fourth Proportional to 4,922.42, 7,382.03 and 1,634.63

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Solution

The fourth proportional to 4,922.42, 7,382.03 and 1,634.63 is: 2,451.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.42 : 7,382.03 = 1,634.63 : x
  2. Step 2: Convert to fraction form
    4,922.42/7,382.03 = 1,634.63/x
  3. Step 3: Cross multiply
    4,922.42x = 7,382.03 × 1,634.63
  4. Step 4: Simplify right side
    4,922.42x = 12,066,848.75
  5. Step 5: Solve for x
    x = 12,066,848.75/4,922.42
  6. Step 6: Final answer
    x = 2,451.41

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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.