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Finding the Fourth Proportional to 2,409.57, 3,300.23 and 2,267.68

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Solution

The fourth proportional to 2,409.57, 3,300.23 and 2,267.68 is: 3,105.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.57 : 3,300.23 = 2,267.68 : x
  2. Step 2: Convert to fraction form
    2,409.57/3,300.23 = 2,267.68/x
  3. Step 3: Cross multiply
    2,409.57x = 3,300.23 × 2,267.68
  4. Step 4: Simplify right side
    2,409.57x = 7,483,865.57
  5. Step 5: Solve for x
    x = 7,483,865.57/2,409.57
  6. Step 6: Final answer
    x = 3,105.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.