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Finding the Fourth Proportional to 1,782.17, 2,673.37 and 686.54

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Solution

The fourth proportional to 1,782.17, 2,673.37 and 686.54 is: 1,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.17 : 2,673.37 = 686.54 : x
  2. Step 2: Convert to fraction form
    1,782.17/2,673.37 = 686.54/x
  3. Step 3: Cross multiply
    1,782.17x = 2,673.37 × 686.54
  4. Step 4: Simplify right side
    1,782.17x = 1,835,375.44
  5. Step 5: Solve for x
    x = 1,835,375.44/1,782.17
  6. Step 6: Final answer
    x = 1,029.85

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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.