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Finding the Fourth Proportional to 1,763.56, 2,643.52 and 837.73

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Solution

The fourth proportional to 1,763.56, 2,643.52 and 837.73 is: 1,255.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.56 : 2,643.52 = 837.73 : x
  2. Step 2: Convert to fraction form
    1,763.56/2,643.52 = 837.73/x
  3. Step 3: Cross multiply
    1,763.56x = 2,643.52 × 837.73
  4. Step 4: Simplify right side
    1,763.56x = 2,214,556.01
  5. Step 5: Solve for x
    x = 2,214,556.01/1,763.56
  6. Step 6: Final answer
    x = 1,255.73

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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.