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Finding the Fourth Proportional to 2,109.91, 2,906.91 and 1,471.24

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Solution

The fourth proportional to 2,109.91, 2,906.91 and 1,471.24 is: 2,026.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.91 : 2,906.91 = 1,471.24 : x
  2. Step 2: Convert to fraction form
    2,109.91/2,906.91 = 1,471.24/x
  3. Step 3: Cross multiply
    2,109.91x = 2,906.91 × 1,471.24
  4. Step 4: Simplify right side
    2,109.91x = 4,276,762.27
  5. Step 5: Solve for x
    x = 4,276,762.27/2,109.91
  6. Step 6: Final answer
    x = 2,026.99

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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.