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Finding the Fourth Proportional to 2,894.67, 3,994.65 and 1,568.37

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Solution

The fourth proportional to 2,894.67, 3,994.65 and 1,568.37 is: 2,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.67 : 3,994.65 = 1,568.37 : x
  2. Step 2: Convert to fraction form
    2,894.67/3,994.65 = 1,568.37/x
  3. Step 3: Cross multiply
    2,894.67x = 3,994.65 × 1,568.37
  4. Step 4: Simplify right side
    2,894.67x = 6,265,091.37
  5. Step 5: Solve for x
    x = 6,265,091.37/2,894.67
  6. Step 6: Final answer
    x = 2,164.36

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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.