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Finding the Fourth Proportional to 2,353.62, 3,527.41 and 965.30

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Solution

The fourth proportional to 2,353.62, 3,527.41 and 965.30 is: 1,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.62 : 3,527.41 = 965.30 : x
  2. Step 2: Convert to fraction form
    2,353.62/3,527.41 = 965.30/x
  3. Step 3: Cross multiply
    2,353.62x = 3,527.41 × 965.30
  4. Step 4: Simplify right side
    2,353.62x = 3,404,988.82
  5. Step 5: Solve for x
    x = 3,404,988.82/2,353.62
  6. Step 6: Final answer
    x = 1,446.70

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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.