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Finding the Fourth Proportional to 2,182.70, 3,273.90 and 701.90

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Solution

The fourth proportional to 2,182.70, 3,273.90 and 701.90 is: 1,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.70 : 3,273.90 = 701.90 : x
  2. Step 2: Convert to fraction form
    2,182.70/3,273.90 = 701.90/x
  3. Step 3: Cross multiply
    2,182.70x = 3,273.90 × 701.90
  4. Step 4: Simplify right side
    2,182.70x = 2,297,950.41
  5. Step 5: Solve for x
    x = 2,297,950.41/2,182.70
  6. Step 6: Final answer
    x = 1,052.80

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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.