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Finding the Fourth Proportional to 1,994.52, 2,976.72 and 1,942.68

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Solution

The fourth proportional to 1,994.52, 2,976.72 and 1,942.68 is: 2,899.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.52 : 2,976.72 = 1,942.68 : x
  2. Step 2: Convert to fraction form
    1,994.52/2,976.72 = 1,942.68/x
  3. Step 3: Cross multiply
    1,994.52x = 2,976.72 × 1,942.68
  4. Step 4: Simplify right side
    1,994.52x = 5,782,814.41
  5. Step 5: Solve for x
    x = 5,782,814.41/1,994.52
  6. Step 6: Final answer
    x = 2,899.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.