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Finding the Fourth Proportional to 1,992.79, 2,750.32 and 1,494.64

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Solution

The fourth proportional to 1,992.79, 2,750.32 and 1,494.64 is: 2,062.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.79 : 2,750.32 = 1,494.64 : x
  2. Step 2: Convert to fraction form
    1,992.79/2,750.32 = 1,494.64/x
  3. Step 3: Cross multiply
    1,992.79x = 2,750.32 × 1,494.64
  4. Step 4: Simplify right side
    1,992.79x = 4,110,738.28
  5. Step 5: Solve for x
    x = 4,110,738.28/1,992.79
  6. Step 6: Final answer
    x = 2,062.81

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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.