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Finding the Fourth Proportional to 2,350.46, 3,525.69 and 963.53

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Solution

The fourth proportional to 2,350.46, 3,525.69 and 963.53 is: 1,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.46 : 3,525.69 = 963.53 : x
  2. Step 2: Convert to fraction form
    2,350.46/3,525.69 = 963.53/x
  3. Step 3: Cross multiply
    2,350.46x = 3,525.69 × 963.53
  4. Step 4: Simplify right side
    2,350.46x = 3,397,103.27
  5. Step 5: Solve for x
    x = 3,397,103.27/2,350.46
  6. Step 6: Final answer
    x = 1,445.30

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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.