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Finding the Fourth Proportional to 2,560.36, 3,838.27 and 999.27

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Solution

The fourth proportional to 2,560.36, 3,838.27 and 999.27 is: 1,498.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.36 : 3,838.27 = 999.27 : x
  2. Step 2: Convert to fraction form
    2,560.36/3,838.27 = 999.27/x
  3. Step 3: Cross multiply
    2,560.36x = 3,838.27 × 999.27
  4. Step 4: Simplify right side
    2,560.36x = 3,835,472.54
  5. Step 5: Solve for x
    x = 3,835,472.54/2,560.36
  6. Step 6: Final answer
    x = 1,498.02

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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.