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Finding the Fourth Proportional to 2,144.89, 2,960.01 and 1,200.67

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Solution

The fourth proportional to 2,144.89, 2,960.01 and 1,200.67 is: 1,656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.89 : 2,960.01 = 1,200.67 : x
  2. Step 2: Convert to fraction form
    2,144.89/2,960.01 = 1,200.67/x
  3. Step 3: Cross multiply
    2,144.89x = 2,960.01 × 1,200.67
  4. Step 4: Simplify right side
    2,144.89x = 3,553,995.21
  5. Step 5: Solve for x
    x = 3,553,995.21/2,144.89
  6. Step 6: Final answer
    x = 1,656.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.