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Finding the Fourth Proportional to 3,180.24, 4,770.60 and 989.04

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Solution

The fourth proportional to 3,180.24, 4,770.60 and 989.04 is: 1,483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.24 : 4,770.60 = 989.04 : x
  2. Step 2: Convert to fraction form
    3,180.24/4,770.60 = 989.04/x
  3. Step 3: Cross multiply
    3,180.24x = 4,770.60 × 989.04
  4. Step 4: Simplify right side
    3,180.24x = 4,718,314.22
  5. Step 5: Solve for x
    x = 4,718,314.22/3,180.24
  6. Step 6: Final answer
    x = 1,483.63

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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.