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Finding the Fourth Proportional to 2,000.98, 2,998.42 and 1,268.34

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Solution

The fourth proportional to 2,000.98, 2,998.42 and 1,268.34 is: 1,900.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.98 : 2,998.42 = 1,268.34 : x
  2. Step 2: Convert to fraction form
    2,000.98/2,998.42 = 1,268.34/x
  3. Step 3: Cross multiply
    2,000.98x = 2,998.42 × 1,268.34
  4. Step 4: Simplify right side
    2,000.98x = 3,803,016.02
  5. Step 5: Solve for x
    x = 3,803,016.02/2,000.98
  6. Step 6: Final answer
    x = 1,900.58

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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.