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Finding the Fourth Proportional to 2,873.60, 3,964.58 and 1,826.27

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Solution

The fourth proportional to 2,873.60, 3,964.58 and 1,826.27 is: 2,519.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.60 : 3,964.58 = 1,826.27 : x
  2. Step 2: Convert to fraction form
    2,873.60/3,964.58 = 1,826.27/x
  3. Step 3: Cross multiply
    2,873.60x = 3,964.58 × 1,826.27
  4. Step 4: Simplify right side
    2,873.60x = 7,240,364.56
  5. Step 5: Solve for x
    x = 7,240,364.56/2,873.60
  6. Step 6: Final answer
    x = 2,519.62

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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.