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Finding the Fourth Proportional to 2,732.58, 4,101.66 and 1,999.98

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Solution

The fourth proportional to 2,732.58, 4,101.66 and 1,999.98 is: 3,002.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.58 : 4,101.66 = 1,999.98 : x
  2. Step 2: Convert to fraction form
    2,732.58/4,101.66 = 1,999.98/x
  3. Step 3: Cross multiply
    2,732.58x = 4,101.66 × 1,999.98
  4. Step 4: Simplify right side
    2,732.58x = 8,203,237.97
  5. Step 5: Solve for x
    x = 8,203,237.97/2,732.58
  6. Step 6: Final answer
    x = 3,002.01

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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.