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Finding the Fourth Proportional to 2,335.56, 3,223.31 and 1,745.07

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Solution

The fourth proportional to 2,335.56, 3,223.31 and 1,745.07 is: 2,408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.56 : 3,223.31 = 1,745.07 : x
  2. Step 2: Convert to fraction form
    2,335.56/3,223.31 = 1,745.07/x
  3. Step 3: Cross multiply
    2,335.56x = 3,223.31 × 1,745.07
  4. Step 4: Simplify right side
    2,335.56x = 5,624,892.86
  5. Step 5: Solve for x
    x = 5,624,892.86/2,335.56
  6. Step 6: Final answer
    x = 2,408.37

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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.