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Finding the Fourth Proportional to 2,992.81, 4,128.93 and 1,873.27

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Solution

The fourth proportional to 2,992.81, 4,128.93 and 1,873.27 is: 2,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.81 : 4,128.93 = 1,873.27 : x
  2. Step 2: Convert to fraction form
    2,992.81/4,128.93 = 1,873.27/x
  3. Step 3: Cross multiply
    2,992.81x = 4,128.93 × 1,873.27
  4. Step 4: Simplify right side
    2,992.81x = 7,734,600.70
  5. Step 5: Solve for x
    x = 7,734,600.70/2,992.81
  6. Step 6: Final answer
    x = 2,584.39

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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.