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Finding the Fourth Proportional to 2,111.52, 3,167.96 and 1,015.98

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Solution

The fourth proportional to 2,111.52, 3,167.96 and 1,015.98 is: 1,524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.52 : 3,167.96 = 1,015.98 : x
  2. Step 2: Convert to fraction form
    2,111.52/3,167.96 = 1,015.98/x
  3. Step 3: Cross multiply
    2,111.52x = 3,167.96 × 1,015.98
  4. Step 4: Simplify right side
    2,111.52x = 3,218,578.92
  5. Step 5: Solve for x
    x = 3,218,578.92/2,111.52
  6. Step 6: Final answer
    x = 1,524.29

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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.