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Finding the Fourth Proportional to 2,684.60, 3,704.50 and 1,505.44

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Solution

The fourth proportional to 2,684.60, 3,704.50 and 1,505.44 is: 2,077.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.60 : 3,704.50 = 1,505.44 : x
  2. Step 2: Convert to fraction form
    2,684.60/3,704.50 = 1,505.44/x
  3. Step 3: Cross multiply
    2,684.60x = 3,704.50 × 1,505.44
  4. Step 4: Simplify right side
    2,684.60x = 5,576,902.48
  5. Step 5: Solve for x
    x = 5,576,902.48/2,684.60
  6. Step 6: Final answer
    x = 2,077.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.