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Finding the Fourth Proportional to 2,115.69, 3,173.91 and 883.97

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Solution

The fourth proportional to 2,115.69, 3,173.91 and 883.97 is: 1,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.69 : 3,173.91 = 883.97 : x
  2. Step 2: Convert to fraction form
    2,115.69/3,173.91 = 883.97/x
  3. Step 3: Cross multiply
    2,115.69x = 3,173.91 × 883.97
  4. Step 4: Simplify right side
    2,115.69x = 2,805,625.01
  5. Step 5: Solve for x
    x = 2,805,625.01/2,115.69
  6. Step 6: Final answer
    x = 1,326.10

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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.