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Finding the Fourth Proportional to 1,704.73, 2,353.70 and 1,305.69

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Solution

The fourth proportional to 1,704.73, 2,353.70 and 1,305.69 is: 1,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.73 : 2,353.70 = 1,305.69 : x
  2. Step 2: Convert to fraction form
    1,704.73/2,353.70 = 1,305.69/x
  3. Step 3: Cross multiply
    1,704.73x = 2,353.70 × 1,305.69
  4. Step 4: Simplify right side
    1,704.73x = 3,073,196.02
  5. Step 5: Solve for x
    x = 3,073,196.02/1,704.73
  6. Step 6: Final answer
    x = 1,802.75

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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.