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Finding the Fourth Proportional to 2,553.81, 3,828.92 and 992.52

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Solution

The fourth proportional to 2,553.81, 3,828.92 and 992.52 is: 1,488.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.81 : 3,828.92 = 992.52 : x
  2. Step 2: Convert to fraction form
    2,553.81/3,828.92 = 992.52/x
  3. Step 3: Cross multiply
    2,553.81x = 3,828.92 × 992.52
  4. Step 4: Simplify right side
    2,553.81x = 3,800,274.72
  5. Step 5: Solve for x
    x = 3,800,274.72/2,553.81
  6. Step 6: Final answer
    x = 1,488.08

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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.