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Finding the Fourth Proportional to 2,894.37, 3,994.24 and 1,568.07

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Solution

The fourth proportional to 2,894.37, 3,994.24 and 1,568.07 is: 2,163.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.37 : 3,994.24 = 1,568.07 : x
  2. Step 2: Convert to fraction form
    2,894.37/3,994.24 = 1,568.07/x
  3. Step 3: Cross multiply
    2,894.37x = 3,994.24 × 1,568.07
  4. Step 4: Simplify right side
    2,894.37x = 6,263,258.07
  5. Step 5: Solve for x
    x = 6,263,258.07/2,894.37
  6. Step 6: Final answer
    x = 2,163.94

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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.