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Finding the Fourth Proportional to 2,074.57, 3,112.66 and 1,253.43

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Solution

The fourth proportional to 2,074.57, 3,112.66 and 1,253.43 is: 1,880.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.57 : 3,112.66 = 1,253.43 : x
  2. Step 2: Convert to fraction form
    2,074.57/3,112.66 = 1,253.43/x
  3. Step 3: Cross multiply
    2,074.57x = 3,112.66 × 1,253.43
  4. Step 4: Simplify right side
    2,074.57x = 3,901,502.99
  5. Step 5: Solve for x
    x = 3,901,502.99/2,074.57
  6. Step 6: Final answer
    x = 1,880.63

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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.