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Finding the Fourth Proportional to 3,193.58, 4,409.33 and 1,999.05

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Solution

The fourth proportional to 3,193.58, 4,409.33 and 1,999.05 is: 2,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.58 : 4,409.33 = 1,999.05 : x
  2. Step 2: Convert to fraction form
    3,193.58/4,409.33 = 1,999.05/x
  3. Step 3: Cross multiply
    3,193.58x = 4,409.33 × 1,999.05
  4. Step 4: Simplify right side
    3,193.58x = 8,814,461.14
  5. Step 5: Solve for x
    x = 8,814,461.14/3,193.58
  6. Step 6: Final answer
    x = 2,760.06

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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.