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Finding the Fourth Proportional to 2,074.89, 3,112.29 and 841.97

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Solution

The fourth proportional to 2,074.89, 3,112.29 and 841.97 is: 1,262.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.89 : 3,112.29 = 841.97 : x
  2. Step 2: Convert to fraction form
    2,074.89/3,112.29 = 841.97/x
  3. Step 3: Cross multiply
    2,074.89x = 3,112.29 × 841.97
  4. Step 4: Simplify right side
    2,074.89x = 2,620,454.81
  5. Step 5: Solve for x
    x = 2,620,454.81/2,074.89
  6. Step 6: Final answer
    x = 1,262.94

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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.