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Finding the Fourth Proportional to 3,092.06, 4,267.20 and 1,832.84

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Solution

The fourth proportional to 3,092.06, 4,267.20 and 1,832.84 is: 2,529.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.06 : 4,267.20 = 1,832.84 : x
  2. Step 2: Convert to fraction form
    3,092.06/4,267.20 = 1,832.84/x
  3. Step 3: Cross multiply
    3,092.06x = 4,267.20 × 1,832.84
  4. Step 4: Simplify right side
    3,092.06x = 7,821,073.51
  5. Step 5: Solve for x
    x = 7,821,073.51/3,092.06
  6. Step 6: Final answer
    x = 2,529.41

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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.