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Finding the Fourth Proportional to 2,111.90, 2,914.41 and 1,167.68

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Solution

The fourth proportional to 2,111.90, 2,914.41 and 1,167.68 is: 1,611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.90 : 2,914.41 = 1,167.68 : x
  2. Step 2: Convert to fraction form
    2,111.90/2,914.41 = 1,167.68/x
  3. Step 3: Cross multiply
    2,111.90x = 2,914.41 × 1,167.68
  4. Step 4: Simplify right side
    2,111.90x = 3,403,098.27
  5. Step 5: Solve for x
    x = 3,403,098.27/2,111.90
  6. Step 6: Final answer
    x = 1,611.39

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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.