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Finding the Fourth Proportional to 2,353.72, 3,530.43 and 966.70

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Solution

The fourth proportional to 2,353.72, 3,530.43 and 966.70 is: 1,449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.72 : 3,530.43 = 966.70 : x
  2. Step 2: Convert to fraction form
    2,353.72/3,530.43 = 966.70/x
  3. Step 3: Cross multiply
    2,353.72x = 3,530.43 × 966.70
  4. Step 4: Simplify right side
    2,353.72x = 3,412,844.20
  5. Step 5: Solve for x
    x = 3,412,844.20/2,353.72
  6. Step 6: Final answer
    x = 1,449.98

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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.