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Finding the Fourth Proportional to 1,994.47, 2,991.41 and 678.20

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Solution

The fourth proportional to 1,994.47, 2,991.41 and 678.20 is: 1,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.47 : 2,991.41 = 678.20 : x
  2. Step 2: Convert to fraction form
    1,994.47/2,991.41 = 678.20/x
  3. Step 3: Cross multiply
    1,994.47x = 2,991.41 × 678.20
  4. Step 4: Simplify right side
    1,994.47x = 2,028,774.26
  5. Step 5: Solve for x
    x = 2,028,774.26/1,994.47
  6. Step 6: Final answer
    x = 1,017.20

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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.