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Finding the Fourth Proportional to 3,182.82, 4,775.49 and 1,235.58

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Solution

The fourth proportional to 3,182.82, 4,775.49 and 1,235.58 is: 1,853.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.82 : 4,775.49 = 1,235.58 : x
  2. Step 2: Convert to fraction form
    3,182.82/4,775.49 = 1,235.58/x
  3. Step 3: Cross multiply
    3,182.82x = 4,775.49 × 1,235.58
  4. Step 4: Simplify right side
    3,182.82x = 5,900,499.93
  5. Step 5: Solve for x
    x = 5,900,499.93/3,182.82
  6. Step 6: Final answer
    x = 1,853.86

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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.