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Finding the Fourth Proportional to 2,533.25, 3,799.52 and 684.48

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Solution

The fourth proportional to 2,533.25, 3,799.52 and 684.48 is: 1,026.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.25 : 3,799.52 = 684.48 : x
  2. Step 2: Convert to fraction form
    2,533.25/3,799.52 = 684.48/x
  3. Step 3: Cross multiply
    2,533.25x = 3,799.52 × 684.48
  4. Step 4: Simplify right side
    2,533.25x = 2,600,692.03
  5. Step 5: Solve for x
    x = 2,600,692.03/2,533.25
  6. Step 6: Final answer
    x = 1,026.62

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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.