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Finding the Fourth Proportional to 2,102.99, 2,899.09 and 1,471.56

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Solution

The fourth proportional to 2,102.99, 2,899.09 and 1,471.56 is: 2,028.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.99 : 2,899.09 = 1,471.56 : x
  2. Step 2: Convert to fraction form
    2,102.99/2,899.09 = 1,471.56/x
  3. Step 3: Cross multiply
    2,102.99x = 2,899.09 × 1,471.56
  4. Step 4: Simplify right side
    2,102.99x = 4,266,163.03
  5. Step 5: Solve for x
    x = 4,266,163.03/2,102.99
  6. Step 6: Final answer
    x = 2,028.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.