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Finding the Fourth Proportional to 3,100.89, 4,651.32 and 1,947.45

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Solution

The fourth proportional to 3,100.89, 4,651.32 and 1,947.45 is: 2,921.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.89 : 4,651.32 = 1,947.45 : x
  2. Step 2: Convert to fraction form
    3,100.89/4,651.32 = 1,947.45/x
  3. Step 3: Cross multiply
    3,100.89x = 4,651.32 × 1,947.45
  4. Step 4: Simplify right side
    3,100.89x = 9,058,213.13
  5. Step 5: Solve for x
    x = 9,058,213.13/3,100.89
  6. Step 6: Final answer
    x = 2,921.17

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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.