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Finding the Fourth Proportional to 1,994.12, 2,991.25 and 1,019.08

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Solution

The fourth proportional to 1,994.12, 2,991.25 and 1,019.08 is: 1,528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.12 : 2,991.25 = 1,019.08 : x
  2. Step 2: Convert to fraction form
    1,994.12/2,991.25 = 1,019.08/x
  3. Step 3: Cross multiply
    1,994.12x = 2,991.25 × 1,019.08
  4. Step 4: Simplify right side
    1,994.12x = 3,048,328.06
  5. Step 5: Solve for x
    x = 3,048,328.06/1,994.12
  6. Step 6: Final answer
    x = 1,528.66

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Why These Related Problems?

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