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Finding the Fourth Proportional to 2,469.09, 3,700.43 and 1,847.92

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Solution

The fourth proportional to 2,469.09, 3,700.43 and 1,847.92 is: 2,769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.09 : 3,700.43 = 1,847.92 : x
  2. Step 2: Convert to fraction form
    2,469.09/3,700.43 = 1,847.92/x
  3. Step 3: Cross multiply
    2,469.09x = 3,700.43 × 1,847.92
  4. Step 4: Simplify right side
    2,469.09x = 6,838,080.10
  5. Step 5: Solve for x
    x = 6,838,080.10/2,469.09
  6. Step 6: Final answer
    x = 2,769.47

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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.