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Finding the Fourth Proportional to 1,994.27, 2,991.46 and 607.60

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Solution

The fourth proportional to 1,994.27, 2,991.46 and 607.60 is: 911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.27 : 2,991.46 = 607.60 : x
  2. Step 2: Convert to fraction form
    1,994.27/2,991.46 = 607.60/x
  3. Step 3: Cross multiply
    1,994.27x = 2,991.46 × 607.60
  4. Step 4: Simplify right side
    1,994.27x = 1,817,612.75
  5. Step 5: Solve for x
    x = 1,817,612.75/1,994.27
  6. Step 6: Final answer
    x = 911.42

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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.