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Finding the Fourth Proportional to 2,187.21, 3,278.69 and 725.37

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Solution

The fourth proportional to 2,187.21, 3,278.69 and 725.37 is: 1,087.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.21 : 3,278.69 = 725.37 : x
  2. Step 2: Convert to fraction form
    2,187.21/3,278.69 = 725.37/x
  3. Step 3: Cross multiply
    2,187.21x = 3,278.69 × 725.37
  4. Step 4: Simplify right side
    2,187.21x = 2,378,263.37
  5. Step 5: Solve for x
    x = 2,378,263.37/2,187.21
  6. Step 6: Final answer
    x = 1,087.35

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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.