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Finding the Fourth Proportional to 2,997, 4,497.32 and 1,265.63

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Solution

The fourth proportional to 2,997, 4,497.32 and 1,265.63 is: 1,899.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997 : 4,497.32 = 1,265.63 : x
  2. Step 2: Convert to fraction form
    2,997/4,497.32 = 1,265.63/x
  3. Step 3: Cross multiply
    2,997x = 4,497.32 × 1,265.63
  4. Step 4: Simplify right side
    2,997x = 5,691,923.79
  5. Step 5: Solve for x
    x = 5,691,923.79/2,997
  6. Step 6: Final answer
    x = 1,899.21

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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.