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Finding the Fourth Proportional to 2,889.06, 3,982.28 and 2,048.01

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Solution

The fourth proportional to 2,889.06, 3,982.28 and 2,048.01 is: 2,822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.06 : 3,982.28 = 2,048.01 : x
  2. Step 2: Convert to fraction form
    2,889.06/3,982.28 = 2,048.01/x
  3. Step 3: Cross multiply
    2,889.06x = 3,982.28 × 2,048.01
  4. Step 4: Simplify right side
    2,889.06x = 8,155,739.02
  5. Step 5: Solve for x
    x = 8,155,739.02/2,889.06
  6. Step 6: Final answer
    x = 2,822.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.