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Finding the Fourth Proportional to 2,182.98, 3,012.31 and 1,238.81

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Solution

The fourth proportional to 2,182.98, 3,012.31 and 1,238.81 is: 1,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.98 : 3,012.31 = 1,238.81 : x
  2. Step 2: Convert to fraction form
    2,182.98/3,012.31 = 1,238.81/x
  3. Step 3: Cross multiply
    2,182.98x = 3,012.31 × 1,238.81
  4. Step 4: Simplify right side
    2,182.98x = 3,731,666.12
  5. Step 5: Solve for x
    x = 3,731,666.12/2,182.98
  6. Step 6: Final answer
    x = 1,709.44

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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.