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Finding the Fourth Proportional to 2,176.65, 3,266.64 and 1,481.67

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Solution

The fourth proportional to 2,176.65, 3,266.64 and 1,481.67 is: 2,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.65 : 3,266.64 = 1,481.67 : x
  2. Step 2: Convert to fraction form
    2,176.65/3,266.64 = 1,481.67/x
  3. Step 3: Cross multiply
    2,176.65x = 3,266.64 × 1,481.67
  4. Step 4: Simplify right side
    2,176.65x = 4,840,082.49
  5. Step 5: Solve for x
    x = 4,840,082.49/2,176.65
  6. Step 6: Final answer
    x = 2,223.64

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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.