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Finding the Fourth Proportional to 2,109.92, 2,912.49 and 1,888.47

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Solution

The fourth proportional to 2,109.92, 2,912.49 and 1,888.47 is: 2,606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.92 : 2,912.49 = 1,888.47 : x
  2. Step 2: Convert to fraction form
    2,109.92/2,912.49 = 1,888.47/x
  3. Step 3: Cross multiply
    2,109.92x = 2,912.49 × 1,888.47
  4. Step 4: Simplify right side
    2,109.92x = 5,500,149.99
  5. Step 5: Solve for x
    x = 5,500,149.99/2,109.92
  6. Step 6: Final answer
    x = 2,606.81

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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.