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Finding the Fourth Proportional to 2,353.33, 3,529.15 and 709.37

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Solution

The fourth proportional to 2,353.33, 3,529.15 and 709.37 is: 1,063.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.33 : 3,529.15 = 709.37 : x
  2. Step 2: Convert to fraction form
    2,353.33/3,529.15 = 709.37/x
  3. Step 3: Cross multiply
    2,353.33x = 3,529.15 × 709.37
  4. Step 4: Simplify right side
    2,353.33x = 2,503,453.72
  5. Step 5: Solve for x
    x = 2,503,453.72/2,353.33
  6. Step 6: Final answer
    x = 1,063.79

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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.