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Finding the Fourth Proportional to 2,826.81, 3,901.24 and 1,568.27

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Solution

The fourth proportional to 2,826.81, 3,901.24 and 1,568.27 is: 2,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.81 : 3,901.24 = 1,568.27 : x
  2. Step 2: Convert to fraction form
    2,826.81/3,901.24 = 1,568.27/x
  3. Step 3: Cross multiply
    2,826.81x = 3,901.24 × 1,568.27
  4. Step 4: Simplify right side
    2,826.81x = 6,118,189.81
  5. Step 5: Solve for x
    x = 6,118,189.81/2,826.81
  6. Step 6: Final answer
    x = 2,164.34

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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.