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Finding the Fourth Proportional to 3,800.14, 5,696.94 and 1,610.44

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Solution

The fourth proportional to 3,800.14, 5,696.94 and 1,610.44 is: 2,414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.14 : 5,696.94 = 1,610.44 : x
  2. Step 2: Convert to fraction form
    3,800.14/5,696.94 = 1,610.44/x
  3. Step 3: Cross multiply
    3,800.14x = 5,696.94 × 1,610.44
  4. Step 4: Simplify right side
    3,800.14x = 9,174,580.05
  5. Step 5: Solve for x
    x = 9,174,580.05/3,800.14
  6. Step 6: Final answer
    x = 2,414.27

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1.5x scale

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.