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Finding the Fourth Proportional to 2,714.54, 4,072.71 and 1,327.60

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Solution

The fourth proportional to 2,714.54, 4,072.71 and 1,327.60 is: 1,991.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.54 : 4,072.71 = 1,327.60 : x
  2. Step 2: Convert to fraction form
    2,714.54/4,072.71 = 1,327.60/x
  3. Step 3: Cross multiply
    2,714.54x = 4,072.71 × 1,327.60
  4. Step 4: Simplify right side
    2,714.54x = 5,406,909.43
  5. Step 5: Solve for x
    x = 5,406,909.43/2,714.54
  6. Step 6: Final answer
    x = 1,991.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.