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Finding the Fourth Proportional to 2,838.48, 3,917.10 and 1,596.48

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Solution

The fourth proportional to 2,838.48, 3,917.10 and 1,596.48 is: 2,203.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.48 : 3,917.10 = 1,596.48 : x
  2. Step 2: Convert to fraction form
    2,838.48/3,917.10 = 1,596.48/x
  3. Step 3: Cross multiply
    2,838.48x = 3,917.10 × 1,596.48
  4. Step 4: Simplify right side
    2,838.48x = 6,253,571.81
  5. Step 5: Solve for x
    x = 6,253,571.81/2,838.48
  6. Step 6: Final answer
    x = 2,203.14

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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.