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Finding the Fourth Proportional to 2,826.52, 3,896.22 and 2,301.64

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Solution

The fourth proportional to 2,826.52, 3,896.22 and 2,301.64 is: 3,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.52 : 3,896.22 = 2,301.64 : x
  2. Step 2: Convert to fraction form
    2,826.52/3,896.22 = 2,301.64/x
  3. Step 3: Cross multiply
    2,826.52x = 3,896.22 × 2,301.64
  4. Step 4: Simplify right side
    2,826.52x = 8,967,695.80
  5. Step 5: Solve for x
    x = 8,967,695.80/2,826.52
  6. Step 6: Final answer
    x = 3,172.70

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