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Finding the Fourth Proportional to 2,066, 3,099.28 and 604.96

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Solution

The fourth proportional to 2,066, 3,099.28 and 604.96 is: 907.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066 : 3,099.28 = 604.96 : x
  2. Step 2: Convert to fraction form
    2,066/3,099.28 = 604.96/x
  3. Step 3: Cross multiply
    2,066x = 3,099.28 × 604.96
  4. Step 4: Simplify right side
    2,066x = 1,874,940.43
  5. Step 5: Solve for x
    x = 1,874,940.43/2,066
  6. Step 6: Final answer
    x = 907.52

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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.