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Finding the Fourth Proportional to 1,223.34, 1,691.19 and 1,172.04

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Solution

The fourth proportional to 1,223.34, 1,691.19 and 1,172.04 is: 1,620.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.34 : 1,691.19 = 1,172.04 : x
  2. Step 2: Convert to fraction form
    1,223.34/1,691.19 = 1,172.04/x
  3. Step 3: Cross multiply
    1,223.34x = 1,691.19 × 1,172.04
  4. Step 4: Simplify right side
    1,223.34x = 1,982,142.33
  5. Step 5: Solve for x
    x = 1,982,142.33/1,223.34
  6. Step 6: Final answer
    x = 1,620.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.