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Finding the Fourth Proportional to 2,529.75, 3,796.58 and 1,755.19

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Solution

The fourth proportional to 2,529.75, 3,796.58 and 1,755.19 is: 2,634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.75 : 3,796.58 = 1,755.19 : x
  2. Step 2: Convert to fraction form
    2,529.75/3,796.58 = 1,755.19/x
  3. Step 3: Cross multiply
    2,529.75x = 3,796.58 × 1,755.19
  4. Step 4: Simplify right side
    2,529.75x = 6,663,714.15
  5. Step 5: Solve for x
    x = 6,663,714.15/2,529.75
  6. Step 6: Final answer
    x = 2,634.14

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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.