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Finding the Fourth Proportional to 2,134.45, 3,195.45 and 1,310.23

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Solution

The fourth proportional to 2,134.45, 3,195.45 and 1,310.23 is: 1,961.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.45 : 3,195.45 = 1,310.23 : x
  2. Step 2: Convert to fraction form
    2,134.45/3,195.45 = 1,310.23/x
  3. Step 3: Cross multiply
    2,134.45x = 3,195.45 × 1,310.23
  4. Step 4: Simplify right side
    2,134.45x = 4,186,760.47
  5. Step 5: Solve for x
    x = 4,186,760.47/2,134.45
  6. Step 6: Final answer
    x = 1,961.52

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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.