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Finding the Fourth Proportional to 2,170.44, 2,994.84 and 1,286.19

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Solution

The fourth proportional to 2,170.44, 2,994.84 and 1,286.19 is: 1,774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.44 : 2,994.84 = 1,286.19 : x
  2. Step 2: Convert to fraction form
    2,170.44/2,994.84 = 1,286.19/x
  3. Step 3: Cross multiply
    2,170.44x = 2,994.84 × 1,286.19
  4. Step 4: Simplify right side
    2,170.44x = 3,851,933.26
  5. Step 5: Solve for x
    x = 3,851,933.26/2,170.44
  6. Step 6: Final answer
    x = 1,774.72

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