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Finding the Fourth Proportional to 2,083.66, 3,123.43 and 1,342.82

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Solution

The fourth proportional to 2,083.66, 3,123.43 and 1,342.82 is: 2,012.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.66 : 3,123.43 = 1,342.82 : x
  2. Step 2: Convert to fraction form
    2,083.66/3,123.43 = 1,342.82/x
  3. Step 3: Cross multiply
    2,083.66x = 3,123.43 × 1,342.82
  4. Step 4: Simplify right side
    2,083.66x = 4,194,208.72
  5. Step 5: Solve for x
    x = 4,194,208.72/2,083.66
  6. Step 6: Final answer
    x = 2,012.91

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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.