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Finding the Fourth Proportional to 2,838, 3,916.44 and 1,596

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Solution

The fourth proportional to 2,838, 3,916.44 and 1,596 is: 2,202.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838 : 3,916.44 = 1,596 : x
  2. Step 2: Convert to fraction form
    2,838/3,916.44 = 1,596/x
  3. Step 3: Cross multiply
    2,838x = 3,916.44 × 1,596
  4. Step 4: Simplify right side
    2,838x = 6,250,638.24
  5. Step 5: Solve for x
    x = 6,250,638.24/2,838
  6. Step 6: Final answer
    x = 2,202.48

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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.