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Finding the Fourth Proportional to 1,826.86, 2,519.22 and 1,494.22

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Solution

The fourth proportional to 1,826.86, 2,519.22 and 1,494.22 is: 2,060.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.86 : 2,519.22 = 1,494.22 : x
  2. Step 2: Convert to fraction form
    1,826.86/2,519.22 = 1,494.22/x
  3. Step 3: Cross multiply
    1,826.86x = 2,519.22 × 1,494.22
  4. Step 4: Simplify right side
    1,826.86x = 3,764,268.91
  5. Step 5: Solve for x
    x = 3,764,268.91/1,826.86
  6. Step 6: Final answer
    x = 2,060.51

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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.