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Finding the Fourth Proportional to 2,553.71, 3,828.62 and 1,320.33

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Solution

The fourth proportional to 2,553.71, 3,828.62 and 1,320.33 is: 1,979.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.71 : 3,828.62 = 1,320.33 : x
  2. Step 2: Convert to fraction form
    2,553.71/3,828.62 = 1,320.33/x
  3. Step 3: Cross multiply
    2,553.71x = 3,828.62 × 1,320.33
  4. Step 4: Simplify right side
    2,553.71x = 5,055,055.79
  5. Step 5: Solve for x
    x = 5,055,055.79/2,553.71
  6. Step 6: Final answer
    x = 1,979.49

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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.