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Finding the Fourth Proportional to 2,552.13, 3,828.24 and 797.18

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Solution

The fourth proportional to 2,552.13, 3,828.24 and 797.18 is: 1,195.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.13 : 3,828.24 = 797.18 : x
  2. Step 2: Convert to fraction form
    2,552.13/3,828.24 = 797.18/x
  3. Step 3: Cross multiply
    2,552.13x = 3,828.24 × 797.18
  4. Step 4: Simplify right side
    2,552.13x = 3,051,805.93
  5. Step 5: Solve for x
    x = 3,051,805.93/2,552.13
  6. Step 6: Final answer
    x = 1,195.79

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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.