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Finding the Fourth Proportional to 2,000.28, 2,998.38 and 1,132.76

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Solution

The fourth proportional to 2,000.28, 2,998.38 and 1,132.76 is: 1,697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.28 : 2,998.38 = 1,132.76 : x
  2. Step 2: Convert to fraction form
    2,000.28/2,998.38 = 1,132.76/x
  3. Step 3: Cross multiply
    2,000.28x = 2,998.38 × 1,132.76
  4. Step 4: Simplify right side
    2,000.28x = 3,396,444.93
  5. Step 5: Solve for x
    x = 3,396,444.93/2,000.28
  6. Step 6: Final answer
    x = 1,697.98

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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.