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Finding the Fourth Proportional to 1,893.08, 2,838.12 and 1,481

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Solution

The fourth proportional to 1,893.08, 2,838.12 and 1,481 is: 2,220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.08 : 2,838.12 = 1,481 : x
  2. Step 2: Convert to fraction form
    1,893.08/2,838.12 = 1,481/x
  3. Step 3: Cross multiply
    1,893.08x = 2,838.12 × 1,481
  4. Step 4: Simplify right side
    1,893.08x = 4,203,255.72
  5. Step 5: Solve for x
    x = 4,203,255.72/1,893.08
  6. Step 6: Final answer
    x = 2,220.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.