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Finding the Fourth Proportional to 1,968.72, 2,952.09 and 871.80

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Solution

The fourth proportional to 1,968.72, 2,952.09 and 871.80 is: 1,307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.72 : 2,952.09 = 871.80 : x
  2. Step 2: Convert to fraction form
    1,968.72/2,952.09 = 871.80/x
  3. Step 3: Cross multiply
    1,968.72x = 2,952.09 × 871.80
  4. Step 4: Simplify right side
    1,968.72x = 2,573,632.06
  5. Step 5: Solve for x
    x = 2,573,632.06/1,968.72
  6. Step 6: Final answer
    x = 1,307.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.