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Finding the Fourth Proportional to 1,896, 2,843.84 and 646.50

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Solution

The fourth proportional to 1,896, 2,843.84 and 646.50 is: 969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896 : 2,843.84 = 646.50 : x
  2. Step 2: Convert to fraction form
    1,896/2,843.84 = 646.50/x
  3. Step 3: Cross multiply
    1,896x = 2,843.84 × 646.50
  4. Step 4: Simplify right side
    1,896x = 1,838,542.56
  5. Step 5: Solve for x
    x = 1,838,542.56/1,896
  6. Step 6: Final answer
    x = 969.70

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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.