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Finding the Fourth Proportional to 3,180.37, 4,765.37 and 1,618.23

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Solution

The fourth proportional to 3,180.37, 4,765.37 and 1,618.23 is: 2,424.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.37 : 4,765.37 = 1,618.23 : x
  2. Step 2: Convert to fraction form
    3,180.37/4,765.37 = 1,618.23/x
  3. Step 3: Cross multiply
    3,180.37x = 4,765.37 × 1,618.23
  4. Step 4: Simplify right side
    3,180.37x = 7,711,436.36
  5. Step 5: Solve for x
    x = 7,711,436.36/3,180.37
  6. Step 6: Final answer
    x = 2,424.70

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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.