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Finding the Fourth Proportional to 1,704.94, 2,350.56 and 1,115.26

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Solution

The fourth proportional to 1,704.94, 2,350.56 and 1,115.26 is: 1,537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.94 : 2,350.56 = 1,115.26 : x
  2. Step 2: Convert to fraction form
    1,704.94/2,350.56 = 1,115.26/x
  3. Step 3: Cross multiply
    1,704.94x = 2,350.56 × 1,115.26
  4. Step 4: Simplify right side
    1,704.94x = 2,621,485.55
  5. Step 5: Solve for x
    x = 2,621,485.55/1,704.94
  6. Step 6: Final answer
    x = 1,537.58

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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.