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Finding the Fourth Proportional to 2,468.97, 3,704.54 and 1,171.35

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Solution

The fourth proportional to 2,468.97, 3,704.54 and 1,171.35 is: 1,757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.97 : 3,704.54 = 1,171.35 : x
  2. Step 2: Convert to fraction form
    2,468.97/3,704.54 = 1,171.35/x
  3. Step 3: Cross multiply
    2,468.97x = 3,704.54 × 1,171.35
  4. Step 4: Simplify right side
    2,468.97x = 4,339,307.07
  5. Step 5: Solve for x
    x = 4,339,307.07/2,468.97
  6. Step 6: Final answer
    x = 1,757.54

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