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Finding the Fourth Proportional to 2,168.94, 2,992.34 and 1,423.32

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Solution

The fourth proportional to 2,168.94, 2,992.34 and 1,423.32 is: 1,963.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.94 : 2,992.34 = 1,423.32 : x
  2. Step 2: Convert to fraction form
    2,168.94/2,992.34 = 1,423.32/x
  3. Step 3: Cross multiply
    2,168.94x = 2,992.34 × 1,423.32
  4. Step 4: Simplify right side
    2,168.94x = 4,259,049.71
  5. Step 5: Solve for x
    x = 4,259,049.71/2,168.94
  6. Step 6: Final answer
    x = 1,963.65

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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.