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Finding the Fourth Proportional to 2,268.93, 3,403.64 and 708.67

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Solution

The fourth proportional to 2,268.93, 3,403.64 and 708.67 is: 1,063.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.93 : 3,403.64 = 708.67 : x
  2. Step 2: Convert to fraction form
    2,268.93/3,403.64 = 708.67/x
  3. Step 3: Cross multiply
    2,268.93x = 3,403.64 × 708.67
  4. Step 4: Simplify right side
    2,268.93x = 2,412,057.56
  5. Step 5: Solve for x
    x = 2,412,057.56/2,268.93
  6. Step 6: Final answer
    x = 1,063.08

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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.