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Finding the Fourth Proportional to 2,048.19, 2,826.41 and 1,163.88

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Solution

The fourth proportional to 2,048.19, 2,826.41 and 1,163.88 is: 1,606.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.19 : 2,826.41 = 1,163.88 : x
  2. Step 2: Convert to fraction form
    2,048.19/2,826.41 = 1,163.88/x
  3. Step 3: Cross multiply
    2,048.19x = 2,826.41 × 1,163.88
  4. Step 4: Simplify right side
    2,048.19x = 3,289,596.25
  5. Step 5: Solve for x
    x = 3,289,596.25/2,048.19
  6. Step 6: Final answer
    x = 1,606.10

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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.