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Finding the Fourth Proportional to 1,704.70, 2,349.42 and 1,261.83

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Solution

The fourth proportional to 1,704.70, 2,349.42 and 1,261.83 is: 1,739.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.70 : 2,349.42 = 1,261.83 : x
  2. Step 2: Convert to fraction form
    1,704.70/2,349.42 = 1,261.83/x
  3. Step 3: Cross multiply
    1,704.70x = 2,349.42 × 1,261.83
  4. Step 4: Simplify right side
    1,704.70x = 2,964,566.60
  5. Step 5: Solve for x
    x = 2,964,566.60/1,704.70
  6. Step 6: Final answer
    x = 1,739.06

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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.