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Finding the Fourth Proportional to 2,223.38, 3,068.38 and 1,228.77

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Solution

The fourth proportional to 2,223.38, 3,068.38 and 1,228.77 is: 1,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.38 : 3,068.38 = 1,228.77 : x
  2. Step 2: Convert to fraction form
    2,223.38/3,068.38 = 1,228.77/x
  3. Step 3: Cross multiply
    2,223.38x = 3,068.38 × 1,228.77
  4. Step 4: Simplify right side
    2,223.38x = 3,770,334.83
  5. Step 5: Solve for x
    x = 3,770,334.83/2,223.38
  6. Step 6: Final answer
    x = 1,695.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.