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Finding the Fourth Proportional to 2,409.10, 3,609.60 and 2,060.80

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Solution

The fourth proportional to 2,409.10, 3,609.60 and 2,060.80 is: 3,087.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.10 : 3,609.60 = 2,060.80 : x
  2. Step 2: Convert to fraction form
    2,409.10/3,609.60 = 2,060.80/x
  3. Step 3: Cross multiply
    2,409.10x = 3,609.60 × 2,060.80
  4. Step 4: Simplify right side
    2,409.10x = 7,438,663.68
  5. Step 5: Solve for x
    x = 7,438,663.68/2,409.10
  6. Step 6: Final answer
    x = 3,087.74

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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.