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Finding the Fourth Proportional to 3,044.54, 4,199.69 and 2,098.86

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Solution

The fourth proportional to 3,044.54, 4,199.69 and 2,098.86 is: 2,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.54 : 4,199.69 = 2,098.86 : x
  2. Step 2: Convert to fraction form
    3,044.54/4,199.69 = 2,098.86/x
  3. Step 3: Cross multiply
    3,044.54x = 4,199.69 × 2,098.86
  4. Step 4: Simplify right side
    3,044.54x = 8,814,550.86
  5. Step 5: Solve for x
    x = 8,814,550.86/3,044.54
  6. Step 6: Final answer
    x = 2,895.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.