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Finding the Fourth Proportional to 2,660.54, 3,670.46 and 1,610.78

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Solution

The fourth proportional to 2,660.54, 3,670.46 and 1,610.78 is: 2,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.54 : 3,670.46 = 1,610.78 : x
  2. Step 2: Convert to fraction form
    2,660.54/3,670.46 = 1,610.78/x
  3. Step 3: Cross multiply
    2,660.54x = 3,670.46 × 1,610.78
  4. Step 4: Simplify right side
    2,660.54x = 5,912,277.15
  5. Step 5: Solve for x
    x = 5,912,277.15/2,660.54
  6. Step 6: Final answer
    x = 2,222.21

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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.