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Finding the Fourth Proportional to 2,353.63, 3,527.67 and 966.28

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Solution

The fourth proportional to 2,353.63, 3,527.67 and 966.28 is: 1,448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.63 : 3,527.67 = 966.28 : x
  2. Step 2: Convert to fraction form
    2,353.63/3,527.67 = 966.28/x
  3. Step 3: Cross multiply
    2,353.63x = 3,527.67 × 966.28
  4. Step 4: Simplify right side
    2,353.63x = 3,408,716.97
  5. Step 5: Solve for x
    x = 3,408,716.97/2,353.63
  6. Step 6: Final answer
    x = 1,448.28

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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.