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Finding the Fourth Proportional to 2,658.89, 3,669.09 and 1,610.75

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Solution

The fourth proportional to 2,658.89, 3,669.09 and 1,610.75 is: 2,222.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.89 : 3,669.09 = 1,610.75 : x
  2. Step 2: Convert to fraction form
    2,658.89/3,669.09 = 1,610.75/x
  3. Step 3: Cross multiply
    2,658.89x = 3,669.09 × 1,610.75
  4. Step 4: Simplify right side
    2,658.89x = 5,909,986.72
  5. Step 5: Solve for x
    x = 5,909,986.72/2,658.89
  6. Step 6: Final answer
    x = 2,222.73

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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.