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Finding the Fourth Proportional to 2,182.70, 3,272.96 and 1,087.67

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Solution

The fourth proportional to 2,182.70, 3,272.96 and 1,087.67 is: 1,630.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.70 : 3,272.96 = 1,087.67 : x
  2. Step 2: Convert to fraction form
    2,182.70/3,272.96 = 1,087.67/x
  3. Step 3: Cross multiply
    2,182.70x = 3,272.96 × 1,087.67
  4. Step 4: Simplify right side
    2,182.70x = 3,559,911.30
  5. Step 5: Solve for x
    x = 3,559,911.30/2,182.70
  6. Step 6: Final answer
    x = 1,630.96

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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.