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Finding the Fourth Proportional to 2,256.69, 3,112.11 and 1,631.37

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Solution

The fourth proportional to 2,256.69, 3,112.11 and 1,631.37 is: 2,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.69 : 3,112.11 = 1,631.37 : x
  2. Step 2: Convert to fraction form
    2,256.69/3,112.11 = 1,631.37/x
  3. Step 3: Cross multiply
    2,256.69x = 3,112.11 × 1,631.37
  4. Step 4: Simplify right side
    2,256.69x = 5,077,002.89
  5. Step 5: Solve for x
    x = 5,077,002.89/2,256.69
  6. Step 6: Final answer
    x = 2,249.76

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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.