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Finding the Fourth Proportional to 2,428.57, 3,349.23 and 1,643.68

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Solution

The fourth proportional to 2,428.57, 3,349.23 and 1,643.68 is: 2,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.57 : 3,349.23 = 1,643.68 : x
  2. Step 2: Convert to fraction form
    2,428.57/3,349.23 = 1,643.68/x
  3. Step 3: Cross multiply
    2,428.57x = 3,349.23 × 1,643.68
  4. Step 4: Simplify right side
    2,428.57x = 5,505,062.37
  5. Step 5: Solve for x
    x = 5,505,062.37/2,428.57
  6. Step 6: Final answer
    x = 2,266.79

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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.