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Finding the Fourth Proportional to 2,447.53, 3,668.14 and 1,112.34

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Solution

The fourth proportional to 2,447.53, 3,668.14 and 1,112.34 is: 1,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.53 : 3,668.14 = 1,112.34 : x
  2. Step 2: Convert to fraction form
    2,447.53/3,668.14 = 1,112.34/x
  3. Step 3: Cross multiply
    2,447.53x = 3,668.14 × 1,112.34
  4. Step 4: Simplify right side
    2,447.53x = 4,080,236.77
  5. Step 5: Solve for x
    x = 4,080,236.77/2,447.53
  6. Step 6: Final answer
    x = 1,667.09

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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.