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Finding the Fourth Proportional to 1,172.38, 1,611.11 and 1,118.17

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Solution

The fourth proportional to 1,172.38, 1,611.11 and 1,118.17 is: 1,536.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.38 : 1,611.11 = 1,118.17 : x
  2. Step 2: Convert to fraction form
    1,172.38/1,611.11 = 1,118.17/x
  3. Step 3: Cross multiply
    1,172.38x = 1,611.11 × 1,118.17
  4. Step 4: Simplify right side
    1,172.38x = 1,801,494.25
  5. Step 5: Solve for x
    x = 1,801,494.25/1,172.38
  6. Step 6: Final answer
    x = 1,536.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.