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Finding the Fourth Proportional to 2,108.02, 3,163.71 and 953.86

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Solution

The fourth proportional to 2,108.02, 3,163.71 and 953.86 is: 1,431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.02 : 3,163.71 = 953.86 : x
  2. Step 2: Convert to fraction form
    2,108.02/3,163.71 = 953.86/x
  3. Step 3: Cross multiply
    2,108.02x = 3,163.71 × 953.86
  4. Step 4: Simplify right side
    2,108.02x = 3,017,736.42
  5. Step 5: Solve for x
    x = 3,017,736.42/2,108.02
  6. Step 6: Final answer
    x = 1,431.55

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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.