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Finding the Fourth Proportional to 2,998.86, 4,498.32 and 1,051.11

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Solution

The fourth proportional to 2,998.86, 4,498.32 and 1,051.11 is: 1,576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.86 : 4,498.32 = 1,051.11 : x
  2. Step 2: Convert to fraction form
    2,998.86/4,498.32 = 1,051.11/x
  3. Step 3: Cross multiply
    2,998.86x = 4,498.32 × 1,051.11
  4. Step 4: Simplify right side
    2,998.86x = 4,728,229.14
  5. Step 5: Solve for x
    x = 4,728,229.14/2,998.86
  6. Step 6: Final answer
    x = 1,576.68

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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.