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Finding the Fourth Proportional to 2,790.32, 3,849.24 and 1,906.16

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Solution

The fourth proportional to 2,790.32, 3,849.24 and 1,906.16 is: 2,629.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.32 : 3,849.24 = 1,906.16 : x
  2. Step 2: Convert to fraction form
    2,790.32/3,849.24 = 1,906.16/x
  3. Step 3: Cross multiply
    2,790.32x = 3,849.24 × 1,906.16
  4. Step 4: Simplify right side
    2,790.32x = 7,337,267.32
  5. Step 5: Solve for x
    x = 7,337,267.32/2,790.32
  6. Step 6: Final answer
    x = 2,629.54

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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.