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Finding the Fourth Proportional to 2,998.72, 4,495.33 and 1,049.86

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Solution

The fourth proportional to 2,998.72, 4,495.33 and 1,049.86 is: 1,573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.72 : 4,495.33 = 1,049.86 : x
  2. Step 2: Convert to fraction form
    2,998.72/4,495.33 = 1,049.86/x
  3. Step 3: Cross multiply
    2,998.72x = 4,495.33 × 1,049.86
  4. Step 4: Simplify right side
    2,998.72x = 4,719,467.15
  5. Step 5: Solve for x
    x = 4,719,467.15/2,998.72
  6. Step 6: Final answer
    x = 1,573.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.