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Finding the Fourth Proportional to 2,285.16, 3,427.48 and 725.12

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Solution

The fourth proportional to 2,285.16, 3,427.48 and 725.12 is: 1,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.16 : 3,427.48 = 725.12 : x
  2. Step 2: Convert to fraction form
    2,285.16/3,427.48 = 725.12/x
  3. Step 3: Cross multiply
    2,285.16x = 3,427.48 × 725.12
  4. Step 4: Simplify right side
    2,285.16x = 2,485,334.30
  5. Step 5: Solve for x
    x = 2,485,334.30/2,285.16
  6. Step 6: Final answer
    x = 1,087.60

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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.