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Finding the Fourth Proportional to 2,684.72, 3,704.90 and 1,505.90

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Solution

The fourth proportional to 2,684.72, 3,704.90 and 1,505.90 is: 2,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.72 : 3,704.90 = 1,505.90 : x
  2. Step 2: Convert to fraction form
    2,684.72/3,704.90 = 1,505.90/x
  3. Step 3: Cross multiply
    2,684.72x = 3,704.90 × 1,505.90
  4. Step 4: Simplify right side
    2,684.72x = 5,579,208.91
  5. Step 5: Solve for x
    x = 5,579,208.91/2,684.72
  6. Step 6: Final answer
    x = 2,078.13

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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.