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Finding the Fourth Proportional to 2,104.70, 3,157.05 and 1,999.10

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Solution

The fourth proportional to 2,104.70, 3,157.05 and 1,999.10 is: 2,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.70 : 3,157.05 = 1,999.10 : x
  2. Step 2: Convert to fraction form
    2,104.70/3,157.05 = 1,999.10/x
  3. Step 3: Cross multiply
    2,104.70x = 3,157.05 × 1,999.10
  4. Step 4: Simplify right side
    2,104.70x = 6,311,258.66
  5. Step 5: Solve for x
    x = 6,311,258.66/2,104.70
  6. Step 6: Final answer
    x = 2,998.65

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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.