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Finding the Fourth Proportional to 1,789.90, 2,682.77 and 1,060.09

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Solution

The fourth proportional to 1,789.90, 2,682.77 and 1,060.09 is: 1,588.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.90 : 2,682.77 = 1,060.09 : x
  2. Step 2: Convert to fraction form
    1,789.90/2,682.77 = 1,060.09/x
  3. Step 3: Cross multiply
    1,789.90x = 2,682.77 × 1,060.09
  4. Step 4: Simplify right side
    1,789.90x = 2,843,977.65
  5. Step 5: Solve for x
    x = 2,843,977.65/1,789.90
  6. Step 6: Final answer
    x = 1,588.90

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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.