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Finding the Fourth Proportional to 2,098.09, 3,142.82 and 1,230.31

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Solution

The fourth proportional to 2,098.09, 3,142.82 and 1,230.31 is: 1,842.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.09 : 3,142.82 = 1,230.31 : x
  2. Step 2: Convert to fraction form
    2,098.09/3,142.82 = 1,230.31/x
  3. Step 3: Cross multiply
    2,098.09x = 3,142.82 × 1,230.31
  4. Step 4: Simplify right side
    2,098.09x = 3,866,647.66
  5. Step 5: Solve for x
    x = 3,866,647.66/2,098.09
  6. Step 6: Final answer
    x = 1,842.93

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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.