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Finding the Fourth Proportional to 3,031.52, 4,546.97 and 1,905.83

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Solution

The fourth proportional to 3,031.52, 4,546.97 and 1,905.83 is: 2,858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.52 : 4,546.97 = 1,905.83 : x
  2. Step 2: Convert to fraction form
    3,031.52/4,546.97 = 1,905.83/x
  3. Step 3: Cross multiply
    3,031.52x = 4,546.97 × 1,905.83
  4. Step 4: Simplify right side
    3,031.52x = 8,665,719.57
  5. Step 5: Solve for x
    x = 8,665,719.57/3,031.52
  6. Step 6: Final answer
    x = 2,858.54

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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.