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Finding the Fourth Proportional to 3,182.00, 4,775.45 and 1,796.57

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Solution

The fourth proportional to 3,182.00, 4,775.45 and 1,796.57 is: 2,696.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.00 : 4,775.45 = 1,796.57 : x
  2. Step 2: Convert to fraction form
    3,182.00/4,775.45 = 1,796.57/x
  3. Step 3: Cross multiply
    3,182.00x = 4,775.45 × 1,796.57
  4. Step 4: Simplify right side
    3,182.00x = 8,579,397.35
  5. Step 5: Solve for x
    x = 8,579,397.35/3,182.00
  6. Step 6: Final answer
    x = 2,696.23

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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.