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Finding the Fourth Proportional to 3,416.94, 4,714.20 and 1,999.44

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Solution

The fourth proportional to 3,416.94, 4,714.20 and 1,999.44 is: 2,758.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.94 : 4,714.20 = 1,999.44 : x
  2. Step 2: Convert to fraction form
    3,416.94/4,714.20 = 1,999.44/x
  3. Step 3: Cross multiply
    3,416.94x = 4,714.20 × 1,999.44
  4. Step 4: Simplify right side
    3,416.94x = 9,425,760.05
  5. Step 5: Solve for x
    x = 9,425,760.05/3,416.94
  6. Step 6: Final answer
    x = 2,758.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.