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Finding the Fourth Proportional to 3,186.77, 4,775.84 and 1,648.85

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Solution

The fourth proportional to 3,186.77, 4,775.84 and 1,648.85 is: 2,471.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.77 : 4,775.84 = 1,648.85 : x
  2. Step 2: Convert to fraction form
    3,186.77/4,775.84 = 1,648.85/x
  3. Step 3: Cross multiply
    3,186.77x = 4,775.84 × 1,648.85
  4. Step 4: Simplify right side
    3,186.77x = 7,874,635.54
  5. Step 5: Solve for x
    x = 7,874,635.54/3,186.77
  6. Step 6: Final answer
    x = 2,471.04

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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.