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Finding the Fourth Proportional to 1,932.53, 2,893.12 and 1,199.88

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Solution

The fourth proportional to 1,932.53, 2,893.12 and 1,199.88 is: 1,796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.53 : 2,893.12 = 1,199.88 : x
  2. Step 2: Convert to fraction form
    1,932.53/2,893.12 = 1,199.88/x
  3. Step 3: Cross multiply
    1,932.53x = 2,893.12 × 1,199.88
  4. Step 4: Simplify right side
    1,932.53x = 3,471,393.83
  5. Step 5: Solve for x
    x = 3,471,393.83/1,932.53
  6. Step 6: Final answer
    x = 1,796.30

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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.