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Finding the Fourth Proportional to 2,992.10, 4,490.46 and 2,074.10

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Solution

The fourth proportional to 2,992.10, 4,490.46 and 2,074.10 is: 3,112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.10 : 4,490.46 = 2,074.10 : x
  2. Step 2: Convert to fraction form
    2,992.10/4,490.46 = 2,074.10/x
  3. Step 3: Cross multiply
    2,992.10x = 4,490.46 × 2,074.10
  4. Step 4: Simplify right side
    2,992.10x = 9,313,640.63
  5. Step 5: Solve for x
    x = 9,313,640.63/2,992.10
  6. Step 6: Final answer
    x = 3,112.75

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