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Finding the Fourth Proportional to 2,992, 4,129.44 and 1,749.76

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Solution

The fourth proportional to 2,992, 4,129.44 and 1,749.76 is: 2,414.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992 : 4,129.44 = 1,749.76 : x
  2. Step 2: Convert to fraction form
    2,992/4,129.44 = 1,749.76/x
  3. Step 3: Cross multiply
    2,992x = 4,129.44 × 1,749.76
  4. Step 4: Simplify right side
    2,992x = 7,225,528.93
  5. Step 5: Solve for x
    x = 7,225,528.93/2,992
  6. Step 6: Final answer
    x = 2,414.95

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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.