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Finding the Fourth Proportional to 1,610.42, 2,414.49 and 830.09

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Solution

The fourth proportional to 1,610.42, 2,414.49 and 830.09 is: 1,244.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.42 : 2,414.49 = 830.09 : x
  2. Step 2: Convert to fraction form
    1,610.42/2,414.49 = 830.09/x
  3. Step 3: Cross multiply
    1,610.42x = 2,414.49 × 830.09
  4. Step 4: Simplify right side
    1,610.42x = 2,004,244.00
  5. Step 5: Solve for x
    x = 2,004,244.00/1,610.42
  6. Step 6: Final answer
    x = 1,244.55

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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.