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Finding the Fourth Proportional to 2,967.39, 4,451.87 and 2,034.27

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Solution

The fourth proportional to 2,967.39, 4,451.87 and 2,034.27 is: 3,051.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.39 : 4,451.87 = 2,034.27 : x
  2. Step 2: Convert to fraction form
    2,967.39/4,451.87 = 2,034.27/x
  3. Step 3: Cross multiply
    2,967.39x = 4,451.87 × 2,034.27
  4. Step 4: Simplify right side
    2,967.39x = 9,056,295.41
  5. Step 5: Solve for x
    x = 9,056,295.41/2,967.39
  6. Step 6: Final answer
    x = 3,051.94

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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.