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Finding the Fourth Proportional to 2,000.48, 2,997.08 and 1,474.70

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Solution

The fourth proportional to 2,000.48, 2,997.08 and 1,474.70 is: 2,209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.48 : 2,997.08 = 1,474.70 : x
  2. Step 2: Convert to fraction form
    2,000.48/2,997.08 = 1,474.70/x
  3. Step 3: Cross multiply
    2,000.48x = 2,997.08 × 1,474.70
  4. Step 4: Simplify right side
    2,000.48x = 4,419,771.52
  5. Step 5: Solve for x
    x = 4,419,771.52/2,000.48
  6. Step 6: Final answer
    x = 2,209.36

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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.