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Finding the Fourth Proportional to 3,181.10, 4,771.96 and 989.24

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Solution

The fourth proportional to 3,181.10, 4,771.96 and 989.24 is: 1,483.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.10 : 4,771.96 = 989.24 : x
  2. Step 2: Convert to fraction form
    3,181.10/4,771.96 = 989.24/x
  3. Step 3: Cross multiply
    3,181.10x = 4,771.96 × 989.24
  4. Step 4: Simplify right side
    3,181.10x = 4,720,613.71
  5. Step 5: Solve for x
    x = 4,720,613.71/3,181.10
  6. Step 6: Final answer
    x = 1,483.96

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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.