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Finding the Fourth Proportional to 2,409.16, 3,613.73 and 677.78

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Solution

The fourth proportional to 2,409.16, 3,613.73 and 677.78 is: 1,016.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.16 : 3,613.73 = 677.78 : x
  2. Step 2: Convert to fraction form
    2,409.16/3,613.73 = 677.78/x
  3. Step 3: Cross multiply
    2,409.16x = 3,613.73 × 677.78
  4. Step 4: Simplify right side
    2,409.16x = 2,449,313.92
  5. Step 5: Solve for x
    x = 2,449,313.92/2,409.16
  6. Step 6: Final answer
    x = 1,016.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.