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Finding the Fourth Proportional to 2,704.52, 3,729.24 and 1,708.64

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Solution

The fourth proportional to 2,704.52, 3,729.24 and 1,708.64 is: 2,356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.52 : 3,729.24 = 1,708.64 : x
  2. Step 2: Convert to fraction form
    2,704.52/3,729.24 = 1,708.64/x
  3. Step 3: Cross multiply
    2,704.52x = 3,729.24 × 1,708.64
  4. Step 4: Simplify right side
    2,704.52x = 6,371,928.63
  5. Step 5: Solve for x
    x = 6,371,928.63/2,704.52
  6. Step 6: Final answer
    x = 2,356.03

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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.