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Finding the Fourth Proportional to 2,992.94, 4,491.75 and 2,074.94

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Solution

The fourth proportional to 2,992.94, 4,491.75 and 2,074.94 is: 3,114.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.94 : 4,491.75 = 2,074.94 : x
  2. Step 2: Convert to fraction form
    2,992.94/4,491.75 = 2,074.94/x
  3. Step 3: Cross multiply
    2,992.94x = 4,491.75 × 2,074.94
  4. Step 4: Simplify right side
    2,992.94x = 9,320,111.75
  5. Step 5: Solve for x
    x = 9,320,111.75/2,992.94
  6. Step 6: Final answer
    x = 3,114.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.