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Finding the Fourth Proportional to 2,997.74, 4,497.37 and 1,049.89

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Solution

The fourth proportional to 2,997.74, 4,497.37 and 1,049.89 is: 1,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.74 : 4,497.37 = 1,049.89 : x
  2. Step 2: Convert to fraction form
    2,997.74/4,497.37 = 1,049.89/x
  3. Step 3: Cross multiply
    2,997.74x = 4,497.37 × 1,049.89
  4. Step 4: Simplify right side
    2,997.74x = 4,721,738.54
  5. Step 5: Solve for x
    x = 4,721,738.54/2,997.74
  6. Step 6: Final answer
    x = 1,575.10

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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.