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Finding the Fourth Proportional to 3,220.97, 4,832.81 and 1,577.53

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Solution

The fourth proportional to 3,220.97, 4,832.81 and 1,577.53 is: 2,366.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.97 : 4,832.81 = 1,577.53 : x
  2. Step 2: Convert to fraction form
    3,220.97/4,832.81 = 1,577.53/x
  3. Step 3: Cross multiply
    3,220.97x = 4,832.81 × 1,577.53
  4. Step 4: Simplify right side
    3,220.97x = 7,623,888.52
  5. Step 5: Solve for x
    x = 7,623,888.52/3,220.97
  6. Step 6: Final answer
    x = 2,366.96

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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.