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Finding the Fourth Proportional to 1,704.44, 2,556.66 and 1,155.26

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Solution

The fourth proportional to 1,704.44, 2,556.66 and 1,155.26 is: 1,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.44 : 2,556.66 = 1,155.26 : x
  2. Step 2: Convert to fraction form
    1,704.44/2,556.66 = 1,155.26/x
  3. Step 3: Cross multiply
    1,704.44x = 2,556.66 × 1,155.26
  4. Step 4: Simplify right side
    1,704.44x = 2,953,617.76
  5. Step 5: Solve for x
    x = 2,953,617.76/1,704.44
  6. Step 6: Final answer
    x = 1,732.89

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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.