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Finding the Fourth Proportional to 2,223, 3,067.73 and 1,228.35

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Solution

The fourth proportional to 2,223, 3,067.73 and 1,228.35 is: 1,695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223 : 3,067.73 = 1,228.35 : x
  2. Step 2: Convert to fraction form
    2,223/3,067.73 = 1,228.35/x
  3. Step 3: Cross multiply
    2,223x = 3,067.73 × 1,228.35
  4. Step 4: Simplify right side
    2,223x = 3,768,246.15
  5. Step 5: Solve for x
    x = 3,768,246.15/2,223
  6. Step 6: Final answer
    x = 1,695.12

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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.