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Finding the Fourth Proportional to 1,960.98, 2,706.54 and 1,164.48

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Solution

The fourth proportional to 1,960.98, 2,706.54 and 1,164.48 is: 1,607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.98 : 2,706.54 = 1,164.48 : x
  2. Step 2: Convert to fraction form
    1,960.98/2,706.54 = 1,164.48/x
  3. Step 3: Cross multiply
    1,960.98x = 2,706.54 × 1,164.48
  4. Step 4: Simplify right side
    1,960.98x = 3,151,711.70
  5. Step 5: Solve for x
    x = 3,151,711.70/1,960.98
  6. Step 6: Final answer
    x = 1,607.21

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Why These Related Problems?

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