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Finding the Fourth Proportional to 2,144.66, 2,960.09 and 1,397.28

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Solution

The fourth proportional to 2,144.66, 2,960.09 and 1,397.28 is: 1,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.66 : 2,960.09 = 1,397.28 : x
  2. Step 2: Convert to fraction form
    2,144.66/2,960.09 = 1,397.28/x
  3. Step 3: Cross multiply
    2,144.66x = 2,960.09 × 1,397.28
  4. Step 4: Simplify right side
    2,144.66x = 4,136,074.56
  5. Step 5: Solve for x
    x = 4,136,074.56/2,144.66
  6. Step 6: Final answer
    x = 1,928.55

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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.