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Finding the Fourth Proportional to 2,379.47, 3,286.80 and 1,826.77

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Solution

The fourth proportional to 2,379.47, 3,286.80 and 1,826.77 is: 2,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.47 : 3,286.80 = 1,826.77 : x
  2. Step 2: Convert to fraction form
    2,379.47/3,286.80 = 1,826.77/x
  3. Step 3: Cross multiply
    2,379.47x = 3,286.80 × 1,826.77
  4. Step 4: Simplify right side
    2,379.47x = 6,004,227.64
  5. Step 5: Solve for x
    x = 6,004,227.64/2,379.47
  6. Step 6: Final answer
    x = 2,523.35

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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.