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Finding the Fourth Proportional to 2,992.93, 4,129.17 and 1,733.30

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Solution

The fourth proportional to 2,992.93, 4,129.17 and 1,733.30 is: 2,391.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.93 : 4,129.17 = 1,733.30 : x
  2. Step 2: Convert to fraction form
    2,992.93/4,129.17 = 1,733.30/x
  3. Step 3: Cross multiply
    2,992.93x = 4,129.17 × 1,733.30
  4. Step 4: Simplify right side
    2,992.93x = 7,157,069.72
  5. Step 5: Solve for x
    x = 7,157,069.72/2,992.93
  6. Step 6: Final answer
    x = 2,391.33

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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.