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Finding the Fourth Proportional to 2,194, 3,027.72 and 1,366.48

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Solution

The fourth proportional to 2,194, 3,027.72 and 1,366.48 is: 1,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194 : 3,027.72 = 1,366.48 : x
  2. Step 2: Convert to fraction form
    2,194/3,027.72 = 1,366.48/x
  3. Step 3: Cross multiply
    2,194x = 3,027.72 × 1,366.48
  4. Step 4: Simplify right side
    2,194x = 4,137,318.83
  5. Step 5: Solve for x
    x = 4,137,318.83/2,194
  6. Step 6: Final answer
    x = 1,885.74

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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.