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Finding the Fourth Proportional to 1,192.24, 1,784.28 and 826.12

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Solution

The fourth proportional to 1,192.24, 1,784.28 and 826.12 is: 1,236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.24 : 1,784.28 = 826.12 : x
  2. Step 2: Convert to fraction form
    1,192.24/1,784.28 = 826.12/x
  3. Step 3: Cross multiply
    1,192.24x = 1,784.28 × 826.12
  4. Step 4: Simplify right side
    1,192.24x = 1,474,029.39
  5. Step 5: Solve for x
    x = 1,474,029.39/1,192.24
  6. Step 6: Final answer
    x = 1,236.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.