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Finding the Fourth Proportional to 2,838.07, 3,916.28 and 2,092.44

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Solution

The fourth proportional to 2,838.07, 3,916.28 and 2,092.44 is: 2,887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.07 : 3,916.28 = 2,092.44 : x
  2. Step 2: Convert to fraction form
    2,838.07/3,916.28 = 2,092.44/x
  3. Step 3: Cross multiply
    2,838.07x = 3,916.28 × 2,092.44
  4. Step 4: Simplify right side
    2,838.07x = 8,194,600.84
  5. Step 5: Solve for x
    x = 8,194,600.84/2,838.07
  6. Step 6: Final answer
    x = 2,887.38

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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.