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Finding the Fourth Proportional to 2,353.20, 3,528.66 and 709.44

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Solution

The fourth proportional to 2,353.20, 3,528.66 and 709.44 is: 1,063.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.20 : 3,528.66 = 709.44 : x
  2. Step 2: Convert to fraction form
    2,353.20/3,528.66 = 709.44/x
  3. Step 3: Cross multiply
    2,353.20x = 3,528.66 × 709.44
  4. Step 4: Simplify right side
    2,353.20x = 2,503,372.55
  5. Step 5: Solve for x
    x = 2,503,372.55/2,353.20
  6. Step 6: Final answer
    x = 1,063.82

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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.