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Finding the Fourth Proportional to 2,144.97, 2,960.91 and 1,399.57

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Solution

The fourth proportional to 2,144.97, 2,960.91 and 1,399.57 is: 1,931.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.97 : 2,960.91 = 1,399.57 : x
  2. Step 2: Convert to fraction form
    2,144.97/2,960.91 = 1,399.57/x
  3. Step 3: Cross multiply
    2,144.97x = 2,960.91 × 1,399.57
  4. Step 4: Simplify right side
    2,144.97x = 4,144,000.81
  5. Step 5: Solve for x
    x = 4,144,000.81/2,144.97
  6. Step 6: Final answer
    x = 1,931.96

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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.