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Finding the Fourth Proportional to 1,994.04, 2,991.72 and 677.94

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Solution

The fourth proportional to 1,994.04, 2,991.72 and 677.94 is: 1,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.04 : 2,991.72 = 677.94 : x
  2. Step 2: Convert to fraction form
    1,994.04/2,991.72 = 677.94/x
  3. Step 3: Cross multiply
    1,994.04x = 2,991.72 × 677.94
  4. Step 4: Simplify right side
    1,994.04x = 2,028,206.66
  5. Step 5: Solve for x
    x = 2,028,206.66/1,994.04
  6. Step 6: Final answer
    x = 1,017.13

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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.