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Finding the Fourth Proportional to 3,181.54, 4,767.99 and 1,446.10

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Solution

The fourth proportional to 3,181.54, 4,767.99 and 1,446.10 is: 2,167.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.54 : 4,767.99 = 1,446.10 : x
  2. Step 2: Convert to fraction form
    3,181.54/4,767.99 = 1,446.10/x
  3. Step 3: Cross multiply
    3,181.54x = 4,767.99 × 1,446.10
  4. Step 4: Simplify right side
    3,181.54x = 6,894,990.34
  5. Step 5: Solve for x
    x = 6,894,990.34/3,181.54
  6. Step 6: Final answer
    x = 2,167.19

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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.