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Finding the Fourth Proportional to 3,182.14, 4,770.24 and 2,485

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Solution

The fourth proportional to 3,182.14, 4,770.24 and 2,485 is: 3,725.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.14 : 4,770.24 = 2,485 : x
  2. Step 2: Convert to fraction form
    3,182.14/4,770.24 = 2,485/x
  3. Step 3: Cross multiply
    3,182.14x = 4,770.24 × 2,485
  4. Step 4: Simplify right side
    3,182.14x = 11,854,046.40
  5. Step 5: Solve for x
    x = 11,854,046.40/3,182.14
  6. Step 6: Final answer
    x = 3,725.18

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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.