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Finding the Fourth Proportional to 2,013.66, 3,015.63 and 1,999.08

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Solution

The fourth proportional to 2,013.66, 3,015.63 and 1,999.08 is: 2,993.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.66 : 3,015.63 = 1,999.08 : x
  2. Step 2: Convert to fraction form
    2,013.66/3,015.63 = 1,999.08/x
  3. Step 3: Cross multiply
    2,013.66x = 3,015.63 × 1,999.08
  4. Step 4: Simplify right side
    2,013.66x = 6,028,485.62
  5. Step 5: Solve for x
    x = 6,028,485.62/2,013.66
  6. Step 6: Final answer
    x = 2,993.80

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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.