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Finding the Fourth Proportional to 1,994.64, 2,993.04 and 1,334.90

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Solution

The fourth proportional to 1,994.64, 2,993.04 and 1,334.90 is: 2,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.64 : 2,993.04 = 1,334.90 : x
  2. Step 2: Convert to fraction form
    1,994.64/2,993.04 = 1,334.90/x
  3. Step 3: Cross multiply
    1,994.64x = 2,993.04 × 1,334.90
  4. Step 4: Simplify right side
    1,994.64x = 3,995,394.13
  5. Step 5: Solve for x
    x = 3,995,394.13/1,994.64
  6. Step 6: Final answer
    x = 2,003.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.