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Finding the Fourth Proportional to 1,968, 2,715.76 and 1,171.44

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Solution

The fourth proportional to 1,968, 2,715.76 and 1,171.44 is: 1,616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968 : 2,715.76 = 1,171.44 : x
  2. Step 2: Convert to fraction form
    1,968/2,715.76 = 1,171.44/x
  3. Step 3: Cross multiply
    1,968x = 2,715.76 × 1,171.44
  4. Step 4: Simplify right side
    1,968x = 3,181,349.89
  5. Step 5: Solve for x
    x = 3,181,349.89/1,968
  6. Step 6: Final answer
    x = 1,616.54

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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.