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Finding the Fourth Proportional to 2,469.54, 3,402.09 and 2,069.81

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Solution

The fourth proportional to 2,469.54, 3,402.09 and 2,069.81 is: 2,851.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.54 : 3,402.09 = 2,069.81 : x
  2. Step 2: Convert to fraction form
    2,469.54/3,402.09 = 2,069.81/x
  3. Step 3: Cross multiply
    2,469.54x = 3,402.09 × 2,069.81
  4. Step 4: Simplify right side
    2,469.54x = 7,041,662.89
  5. Step 5: Solve for x
    x = 7,041,662.89/2,469.54
  6. Step 6: Final answer
    x = 2,851.41

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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.