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Finding the Fourth Proportional to 3,180.41, 4,771.01 and 989.15

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Solution

The fourth proportional to 3,180.41, 4,771.01 and 989.15 is: 1,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.41 : 4,771.01 = 989.15 : x
  2. Step 2: Convert to fraction form
    3,180.41/4,771.01 = 989.15/x
  3. Step 3: Cross multiply
    3,180.41x = 4,771.01 × 989.15
  4. Step 4: Simplify right side
    3,180.41x = 4,719,258.94
  5. Step 5: Solve for x
    x = 4,719,258.94/3,180.41
  6. Step 6: Final answer
    x = 1,483.85

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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.