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Finding the Fourth Proportional to 1,929.52, 2,896.02 and 1,200.52

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Solution

The fourth proportional to 1,929.52, 2,896.02 and 1,200.52 is: 1,801.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.52 : 2,896.02 = 1,200.52 : x
  2. Step 2: Convert to fraction form
    1,929.52/2,896.02 = 1,200.52/x
  3. Step 3: Cross multiply
    1,929.52x = 2,896.02 × 1,200.52
  4. Step 4: Simplify right side
    1,929.52x = 3,476,729.93
  5. Step 5: Solve for x
    x = 3,476,729.93/1,929.52
  6. Step 6: Final answer
    x = 1,801.86

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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.