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Finding the Fourth Proportional to 2,111.82, 2,914.44 and 1,167.62

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Solution

The fourth proportional to 2,111.82, 2,914.44 and 1,167.62 is: 1,611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.82 : 2,914.44 = 1,167.62 : x
  2. Step 2: Convert to fraction form
    2,111.82/2,914.44 = 1,167.62/x
  3. Step 3: Cross multiply
    2,111.82x = 2,914.44 × 1,167.62
  4. Step 4: Simplify right side
    2,111.82x = 3,402,943.86
  5. Step 5: Solve for x
    x = 3,402,943.86/2,111.82
  6. Step 6: Final answer
    x = 1,611.38

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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.