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Finding the Fourth Proportional to 2,838.28, 3,917.84 and 1,643.80

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Solution

The fourth proportional to 2,838.28, 3,917.84 and 1,643.80 is: 2,269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.28 : 3,917.84 = 1,643.80 : x
  2. Step 2: Convert to fraction form
    2,838.28/3,917.84 = 1,643.80/x
  3. Step 3: Cross multiply
    2,838.28x = 3,917.84 × 1,643.80
  4. Step 4: Simplify right side
    2,838.28x = 6,440,145.39
  5. Step 5: Solve for x
    x = 6,440,145.39/2,838.28
  6. Step 6: Final answer
    x = 2,269.03

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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.