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Finding the Fourth Proportional to 2,428.29, 3,352.01 and 1,644.66

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Solution

The fourth proportional to 2,428.29, 3,352.01 and 1,644.66 is: 2,270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.29 : 3,352.01 = 1,644.66 : x
  2. Step 2: Convert to fraction form
    2,428.29/3,352.01 = 1,644.66/x
  3. Step 3: Cross multiply
    2,428.29x = 3,352.01 × 1,644.66
  4. Step 4: Simplify right side
    2,428.29x = 5,512,908.54
  5. Step 5: Solve for x
    x = 5,512,908.54/2,428.29
  6. Step 6: Final answer
    x = 2,270.28

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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.