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Finding the Fourth Proportional to 2,113.48, 3,169.38 and 814.12

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Solution

The fourth proportional to 2,113.48, 3,169.38 and 814.12 is: 1,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.48 : 3,169.38 = 814.12 : x
  2. Step 2: Convert to fraction form
    2,113.48/3,169.38 = 814.12/x
  3. Step 3: Cross multiply
    2,113.48x = 3,169.38 × 814.12
  4. Step 4: Simplify right side
    2,113.48x = 2,580,255.65
  5. Step 5: Solve for x
    x = 2,580,255.65/2,113.48
  6. Step 6: Final answer
    x = 1,220.86

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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.