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Finding the Fourth Proportional to 2,020.99, 3,027.02 and 1,471.91

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Solution

The fourth proportional to 2,020.99, 3,027.02 and 1,471.91 is: 2,204.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.99 : 3,027.02 = 1,471.91 : x
  2. Step 2: Convert to fraction form
    2,020.99/3,027.02 = 1,471.91/x
  3. Step 3: Cross multiply
    2,020.99x = 3,027.02 × 1,471.91
  4. Step 4: Simplify right side
    2,020.99x = 4,455,501.01
  5. Step 5: Solve for x
    x = 4,455,501.01/2,020.99
  6. Step 6: Final answer
    x = 2,204.62

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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.