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Finding the Fourth Proportional to 2,998.82, 4,498.54 and 1,050.57

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Solution

The fourth proportional to 2,998.82, 4,498.54 and 1,050.57 is: 1,575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.82 : 4,498.54 = 1,050.57 : x
  2. Step 2: Convert to fraction form
    2,998.82/4,498.54 = 1,050.57/x
  3. Step 3: Cross multiply
    2,998.82x = 4,498.54 × 1,050.57
  4. Step 4: Simplify right side
    2,998.82x = 4,726,028.54
  5. Step 5: Solve for x
    x = 4,726,028.54/2,998.82
  6. Step 6: Final answer
    x = 1,575.96

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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.