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Finding the Fourth Proportional to 2,325.78, 3,209.76 and 1,331.37

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Solution

The fourth proportional to 2,325.78, 3,209.76 and 1,331.37 is: 1,837.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.78 : 3,209.76 = 1,331.37 : x
  2. Step 2: Convert to fraction form
    2,325.78/3,209.76 = 1,331.37/x
  3. Step 3: Cross multiply
    2,325.78x = 3,209.76 × 1,331.37
  4. Step 4: Simplify right side
    2,325.78x = 4,273,371.51
  5. Step 5: Solve for x
    x = 4,273,371.51/2,325.78
  6. Step 6: Final answer
    x = 1,837.39

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Why These Related Problems?

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