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Finding the Fourth Proportional to 2,169.97, 2,994.56 and 1,175.25

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Solution

The fourth proportional to 2,169.97, 2,994.56 and 1,175.25 is: 1,621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.97 : 2,994.56 = 1,175.25 : x
  2. Step 2: Convert to fraction form
    2,169.97/2,994.56 = 1,175.25/x
  3. Step 3: Cross multiply
    2,169.97x = 2,994.56 × 1,175.25
  4. Step 4: Simplify right side
    2,169.97x = 3,519,352.86
  5. Step 5: Solve for x
    x = 3,519,352.86/2,169.97
  6. Step 6: Final answer
    x = 1,621.84

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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.