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Finding the Fourth Proportional to 2,052.97, 3,079.42 and 513.97

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Solution

The fourth proportional to 2,052.97, 3,079.42 and 513.97 is: 770.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.97 : 3,079.42 = 513.97 : x
  2. Step 2: Convert to fraction form
    2,052.97/3,079.42 = 513.97/x
  3. Step 3: Cross multiply
    2,052.97x = 3,079.42 × 513.97
  4. Step 4: Simplify right side
    2,052.97x = 1,582,720.51
  5. Step 5: Solve for x
    x = 1,582,720.51/2,052.97
  6. Step 6: Final answer
    x = 770.94

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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.