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Finding the Fourth Proportional to 2,091.88, 3,141.06 and 1,999.54

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Solution

The fourth proportional to 2,091.88, 3,141.06 and 1,999.54 is: 3,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.88 : 3,141.06 = 1,999.54 : x
  2. Step 2: Convert to fraction form
    2,091.88/3,141.06 = 1,999.54/x
  3. Step 3: Cross multiply
    2,091.88x = 3,141.06 × 1,999.54
  4. Step 4: Simplify right side
    2,091.88x = 6,280,675.11
  5. Step 5: Solve for x
    x = 6,280,675.11/2,091.88
  6. Step 6: Final answer
    x = 3,002.41

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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.