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Finding the Fourth Proportional to 2,474.94, 3,714.24 and 1,993.80

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Solution

The fourth proportional to 2,474.94, 3,714.24 and 1,993.80 is: 2,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.94 : 3,714.24 = 1,993.80 : x
  2. Step 2: Convert to fraction form
    2,474.94/3,714.24 = 1,993.80/x
  3. Step 3: Cross multiply
    2,474.94x = 3,714.24 × 1,993.80
  4. Step 4: Simplify right side
    2,474.94x = 7,405,451.71
  5. Step 5: Solve for x
    x = 7,405,451.71/2,474.94
  6. Step 6: Final answer
    x = 2,992.17

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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.