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Finding the Fourth Proportional to 1,894.20, 2,838.72 and 797.28

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Solution

The fourth proportional to 1,894.20, 2,838.72 and 797.28 is: 1,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.20 : 2,838.72 = 797.28 : x
  2. Step 2: Convert to fraction form
    1,894.20/2,838.72 = 797.28/x
  3. Step 3: Cross multiply
    1,894.20x = 2,838.72 × 797.28
  4. Step 4: Simplify right side
    1,894.20x = 2,263,254.68
  5. Step 5: Solve for x
    x = 2,263,254.68/1,894.20
  6. Step 6: Final answer
    x = 1,194.83

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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.