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Finding the Fourth Proportional to 3,181.90, 4,770 and 1,621.03

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Solution

The fourth proportional to 3,181.90, 4,770 and 1,621.03 is: 2,430.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.90 : 4,770 = 1,621.03 : x
  2. Step 2: Convert to fraction form
    3,181.90/4,770 = 1,621.03/x
  3. Step 3: Cross multiply
    3,181.90x = 4,770 × 1,621.03
  4. Step 4: Simplify right side
    3,181.90x = 7,732,313.10
  5. Step 5: Solve for x
    x = 7,732,313.10/3,181.90
  6. Step 6: Final answer
    x = 2,430.09

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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.