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Finding the Fourth Proportional to 2,505.98, 3,760.50 and 1,274.27

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Solution

The fourth proportional to 2,505.98, 3,760.50 and 1,274.27 is: 1,912.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.98 : 3,760.50 = 1,274.27 : x
  2. Step 2: Convert to fraction form
    2,505.98/3,760.50 = 1,274.27/x
  3. Step 3: Cross multiply
    2,505.98x = 3,760.50 × 1,274.27
  4. Step 4: Simplify right side
    2,505.98x = 4,791,892.34
  5. Step 5: Solve for x
    x = 4,791,892.34/2,505.98
  6. Step 6: Final answer
    x = 1,912.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.