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Finding the Fourth Proportional to 2,838.09, 3,917.16 and 1,659.27

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Solution

The fourth proportional to 2,838.09, 3,917.16 and 1,659.27 is: 2,290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.09 : 3,917.16 = 1,659.27 : x
  2. Step 2: Convert to fraction form
    2,838.09/3,917.16 = 1,659.27/x
  3. Step 3: Cross multiply
    2,838.09x = 3,917.16 × 1,659.27
  4. Step 4: Simplify right side
    2,838.09x = 6,499,626.07
  5. Step 5: Solve for x
    x = 6,499,626.07/2,838.09
  6. Step 6: Final answer
    x = 2,290.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.