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Finding the Fourth Proportional to 2,409.70, 3,609.77 and 1,173.39

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Solution

The fourth proportional to 2,409.70, 3,609.77 and 1,173.39 is: 1,757.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.70 : 3,609.77 = 1,173.39 : x
  2. Step 2: Convert to fraction form
    2,409.70/3,609.77 = 1,173.39/x
  3. Step 3: Cross multiply
    2,409.70x = 3,609.77 × 1,173.39
  4. Step 4: Simplify right side
    2,409.70x = 4,235,648.62
  5. Step 5: Solve for x
    x = 4,235,648.62/2,409.70
  6. Step 6: Final answer
    x = 1,757.75

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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.