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Finding the Fourth Proportional to 3,204.97, 4,808.43 and 1,561.28

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Solution

The fourth proportional to 3,204.97, 4,808.43 and 1,561.28 is: 2,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.97 : 4,808.43 = 1,561.28 : x
  2. Step 2: Convert to fraction form
    3,204.97/4,808.43 = 1,561.28/x
  3. Step 3: Cross multiply
    3,204.97x = 4,808.43 × 1,561.28
  4. Step 4: Simplify right side
    3,204.97x = 7,507,281.55
  5. Step 5: Solve for x
    x = 7,507,281.55/3,204.97
  6. Step 6: Final answer
    x = 2,342.39

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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.