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Finding the Fourth Proportional to 2,059.75, 2,842.85 and 1,610.73

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Solution

The fourth proportional to 2,059.75, 2,842.85 and 1,610.73 is: 2,223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.75 : 2,842.85 = 1,610.73 : x
  2. Step 2: Convert to fraction form
    2,059.75/2,842.85 = 1,610.73/x
  3. Step 3: Cross multiply
    2,059.75x = 2,842.85 × 1,610.73
  4. Step 4: Simplify right side
    2,059.75x = 4,579,063.78
  5. Step 5: Solve for x
    x = 4,579,063.78/2,059.75
  6. Step 6: Final answer
    x = 2,223.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.