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Finding the Fourth Proportional to 2,168.25, 2,994.62 and 1,468.41

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Solution

The fourth proportional to 2,168.25, 2,994.62 and 1,468.41 is: 2,028.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.25 : 2,994.62 = 1,468.41 : x
  2. Step 2: Convert to fraction form
    2,168.25/2,994.62 = 1,468.41/x
  3. Step 3: Cross multiply
    2,168.25x = 2,994.62 × 1,468.41
  4. Step 4: Simplify right side
    2,168.25x = 4,397,329.95
  5. Step 5: Solve for x
    x = 4,397,329.95/2,168.25
  6. Step 6: Final answer
    x = 2,028.05

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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.