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Finding the Fourth Proportional to 2,059.50, 2,842.11 and 1,231.50

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Solution

The fourth proportional to 2,059.50, 2,842.11 and 1,231.50 is: 1,699.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.50 : 2,842.11 = 1,231.50 : x
  2. Step 2: Convert to fraction form
    2,059.50/2,842.11 = 1,231.50/x
  3. Step 3: Cross multiply
    2,059.50x = 2,842.11 × 1,231.50
  4. Step 4: Simplify right side
    2,059.50x = 3,500,058.47
  5. Step 5: Solve for x
    x = 3,500,058.47/2,059.50
  6. Step 6: Final answer
    x = 1,699.47

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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.