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Finding the Fourth Proportional to 2,076.94, 3,115.42 and 537.94

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Solution

The fourth proportional to 2,076.94, 3,115.42 and 537.94 is: 806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.94 : 3,115.42 = 537.94 : x
  2. Step 2: Convert to fraction form
    2,076.94/3,115.42 = 537.94/x
  3. Step 3: Cross multiply
    2,076.94x = 3,115.42 × 537.94
  4. Step 4: Simplify right side
    2,076.94x = 1,675,899.90
  5. Step 5: Solve for x
    x = 1,675,899.90/2,076.94
  6. Step 6: Final answer
    x = 806.91

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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.