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Finding the Fourth Proportional to 3,491.85, 4,819.31 and 1,999.83

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Solution

The fourth proportional to 3,491.85, 4,819.31 and 1,999.83 is: 2,760.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.85 : 4,819.31 = 1,999.83 : x
  2. Step 2: Convert to fraction form
    3,491.85/4,819.31 = 1,999.83/x
  3. Step 3: Cross multiply
    3,491.85x = 4,819.31 × 1,999.83
  4. Step 4: Simplify right side
    3,491.85x = 9,637,800.72
  5. Step 5: Solve for x
    x = 9,637,800.72/3,491.85
  6. Step 6: Final answer
    x = 2,760.08

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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.