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Finding the Fourth Proportional to 2,494.87, 3,439.14 and 2,052

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Solution

The fourth proportional to 2,494.87, 3,439.14 and 2,052 is: 2,828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.87 : 3,439.14 = 2,052 : x
  2. Step 2: Convert to fraction form
    2,494.87/3,439.14 = 2,052/x
  3. Step 3: Cross multiply
    2,494.87x = 3,439.14 × 2,052
  4. Step 4: Simplify right side
    2,494.87x = 7,057,107.59
  5. Step 5: Solve for x
    x = 7,057,107.59/2,494.87
  6. Step 6: Final answer
    x = 2,828.65

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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.