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Finding the Fourth Proportional to 3,190.56, 4,776.99 and 1,627.20

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Solution

The fourth proportional to 3,190.56, 4,776.99 and 1,627.20 is: 2,436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.56 : 4,776.99 = 1,627.20 : x
  2. Step 2: Convert to fraction form
    3,190.56/4,776.99 = 1,627.20/x
  3. Step 3: Cross multiply
    3,190.56x = 4,776.99 × 1,627.20
  4. Step 4: Simplify right side
    3,190.56x = 7,773,118.13
  5. Step 5: Solve for x
    x = 7,773,118.13/3,190.56
  6. Step 6: Final answer
    x = 2,436.29

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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.