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Finding the Fourth Proportional to 2,838.94, 3,918.39 and 1,790.46

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Solution

The fourth proportional to 2,838.94, 3,918.39 and 1,790.46 is: 2,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.94 : 3,918.39 = 1,790.46 : x
  2. Step 2: Convert to fraction form
    2,838.94/3,918.39 = 1,790.46/x
  3. Step 3: Cross multiply
    2,838.94x = 3,918.39 × 1,790.46
  4. Step 4: Simplify right side
    2,838.94x = 7,015,720.56
  5. Step 5: Solve for x
    x = 7,015,720.56/2,838.94
  6. Step 6: Final answer
    x = 2,471.25

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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.