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Finding the Fourth Proportional to 2,790.48, 3,849.16 and 2,047.44

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Solution

The fourth proportional to 2,790.48, 3,849.16 and 2,047.44 is: 2,824.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.48 : 3,849.16 = 2,047.44 : x
  2. Step 2: Convert to fraction form
    2,790.48/3,849.16 = 2,047.44/x
  3. Step 3: Cross multiply
    2,790.48x = 3,849.16 × 2,047.44
  4. Step 4: Simplify right side
    2,790.48x = 7,880,924.15
  5. Step 5: Solve for x
    x = 7,880,924.15/2,790.48
  6. Step 6: Final answer
    x = 2,824.22

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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.