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Finding the Fourth Proportional to 2,231.79, 3,347.70 and 1,745.25

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Solution

The fourth proportional to 2,231.79, 3,347.70 and 1,745.25 is: 2,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.79 : 3,347.70 = 1,745.25 : x
  2. Step 2: Convert to fraction form
    2,231.79/3,347.70 = 1,745.25/x
  3. Step 3: Cross multiply
    2,231.79x = 3,347.70 × 1,745.25
  4. Step 4: Simplify right side
    2,231.79x = 5,842,573.43
  5. Step 5: Solve for x
    x = 5,842,573.43/2,231.79
  6. Step 6: Final answer
    x = 2,617.89

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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.