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Finding the Fourth Proportional to 2,223.86, 3,067.76 and 1,804.68

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Solution

The fourth proportional to 2,223.86, 3,067.76 and 1,804.68 is: 2,489.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.86 : 3,067.76 = 1,804.68 : x
  2. Step 2: Convert to fraction form
    2,223.86/3,067.76 = 1,804.68/x
  3. Step 3: Cross multiply
    2,223.86x = 3,067.76 × 1,804.68
  4. Step 4: Simplify right side
    2,223.86x = 5,536,325.12
  5. Step 5: Solve for x
    x = 5,536,325.12/2,223.86
  6. Step 6: Final answer
    x = 2,489.51

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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.