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Finding the Fourth Proportional to 1,782.52, 2,456.94 and 1,192.84

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Solution

The fourth proportional to 1,782.52, 2,456.94 and 1,192.84 is: 1,644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.52 : 2,456.94 = 1,192.84 : x
  2. Step 2: Convert to fraction form
    1,782.52/2,456.94 = 1,192.84/x
  3. Step 3: Cross multiply
    1,782.52x = 2,456.94 × 1,192.84
  4. Step 4: Simplify right side
    1,782.52x = 2,930,736.31
  5. Step 5: Solve for x
    x = 2,930,736.31/1,782.52
  6. Step 6: Final answer
    x = 1,644.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.