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Finding the Fourth Proportional to 2,642.70, 3,704.90 and 2,642.70

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Solution

The fourth proportional to 2,642.70, 3,704.90 and 2,642.70 is: 3,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.70 : 3,704.90 = 2,642.70 : x
  2. Step 2: Convert to fraction form
    2,642.70/3,704.90 = 2,642.70/x
  3. Step 3: Cross multiply
    2,642.70x = 3,704.90 × 2,642.70
  4. Step 4: Simplify right side
    2,642.70x = 9,790,939.23
  5. Step 5: Solve for x
    x = 9,790,939.23/2,642.70
  6. Step 6: Final answer
    x = 3,704.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.