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Finding the Fourth Proportional to 2,684.35, 3,704.29 and 1,505.44

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Solution

The fourth proportional to 2,684.35, 3,704.29 and 1,505.44 is: 2,077.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.35 : 3,704.29 = 1,505.44 : x
  2. Step 2: Convert to fraction form
    2,684.35/3,704.29 = 1,505.44/x
  3. Step 3: Cross multiply
    2,684.35x = 3,704.29 × 1,505.44
  4. Step 4: Simplify right side
    2,684.35x = 5,576,586.34
  5. Step 5: Solve for x
    x = 5,576,586.34/2,684.35
  6. Step 6: Final answer
    x = 2,077.44

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