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Finding the Fourth Proportional to 1,994.47, 2,991.83 and 607.91

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Solution

The fourth proportional to 1,994.47, 2,991.83 and 607.91 is: 911.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.47 : 2,991.83 = 607.91 : x
  2. Step 2: Convert to fraction form
    1,994.47/2,991.83 = 607.91/x
  3. Step 3: Cross multiply
    1,994.47x = 2,991.83 × 607.91
  4. Step 4: Simplify right side
    1,994.47x = 1,818,745.38
  5. Step 5: Solve for x
    x = 1,818,745.38/1,994.47
  6. Step 6: Final answer
    x = 911.89

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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.