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Finding the Fourth Proportional to 2,643.83, 3,648.33 and 1,448.81

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Solution

The fourth proportional to 2,643.83, 3,648.33 and 1,448.81 is: 1,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.83 : 3,648.33 = 1,448.81 : x
  2. Step 2: Convert to fraction form
    2,643.83/3,648.33 = 1,448.81/x
  3. Step 3: Cross multiply
    2,643.83x = 3,648.33 × 1,448.81
  4. Step 4: Simplify right side
    2,643.83x = 5,285,736.99
  5. Step 5: Solve for x
    x = 5,285,736.99/2,643.83
  6. Step 6: Final answer
    x = 1,999.27

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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.