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Finding the Fourth Proportional to 2,894.68, 3,994.65 and 1,568.42

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Solution

The fourth proportional to 2,894.68, 3,994.65 and 1,568.42 is: 2,164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.68 : 3,994.65 = 1,568.42 : x
  2. Step 2: Convert to fraction form
    2,894.68/3,994.65 = 1,568.42/x
  3. Step 3: Cross multiply
    2,894.68x = 3,994.65 × 1,568.42
  4. Step 4: Simplify right side
    2,894.68x = 6,265,268.98
  5. Step 5: Solve for x
    x = 6,265,268.98/2,894.68
  6. Step 6: Final answer
    x = 2,164.41

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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.