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Finding the Fourth Proportional to 3,182.37, 4,775.42 and 1,333.34

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Solution

The fourth proportional to 3,182.37, 4,775.42 and 1,333.34 is: 2,000.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.37 : 4,775.42 = 1,333.34 : x
  2. Step 2: Convert to fraction form
    3,182.37/4,775.42 = 1,333.34/x
  3. Step 3: Cross multiply
    3,182.37x = 4,775.42 × 1,333.34
  4. Step 4: Simplify right side
    3,182.37x = 6,367,251.84
  5. Step 5: Solve for x
    x = 6,367,251.84/3,182.37
  6. Step 6: Final answer
    x = 2,000.79

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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.