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Finding the Fourth Proportional to 2,533.29, 3,799.92 and 684.59

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Solution

The fourth proportional to 2,533.29, 3,799.92 and 684.59 is: 1,026.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.29 : 3,799.92 = 684.59 : x
  2. Step 2: Convert to fraction form
    2,533.29/3,799.92 = 684.59/x
  3. Step 3: Cross multiply
    2,533.29x = 3,799.92 × 684.59
  4. Step 4: Simplify right side
    2,533.29x = 2,601,388.32
  5. Step 5: Solve for x
    x = 2,601,388.32/2,533.29
  6. Step 6: Final answer
    x = 1,026.88

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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.