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Finding the Fourth Proportional to 2,168.34, 2,992.02 and 1,223.82

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Solution

The fourth proportional to 2,168.34, 2,992.02 and 1,223.82 is: 1,688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.34 : 2,992.02 = 1,223.82 : x
  2. Step 2: Convert to fraction form
    2,168.34/2,992.02 = 1,223.82/x
  3. Step 3: Cross multiply
    2,168.34x = 2,992.02 × 1,223.82
  4. Step 4: Simplify right side
    2,168.34x = 3,661,693.92
  5. Step 5: Solve for x
    x = 3,661,693.92/2,168.34
  6. Step 6: Final answer
    x = 1,688.71

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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.