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Finding the Fourth Proportional to 2,998.78, 4,497.09 and 1,267.54

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Solution

The fourth proportional to 2,998.78, 4,497.09 and 1,267.54 is: 1,900.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.78 : 4,497.09 = 1,267.54 : x
  2. Step 2: Convert to fraction form
    2,998.78/4,497.09 = 1,267.54/x
  3. Step 3: Cross multiply
    2,998.78x = 4,497.09 × 1,267.54
  4. Step 4: Simplify right side
    2,998.78x = 5,700,241.46
  5. Step 5: Solve for x
    x = 5,700,241.46/2,998.78
  6. Step 6: Final answer
    x = 1,900.85

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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.