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Finding the Fourth Proportional to 2,042.66, 3,063.98 and 1,427.56

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Solution

The fourth proportional to 2,042.66, 3,063.98 and 1,427.56 is: 2,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.66 : 3,063.98 = 1,427.56 : x
  2. Step 2: Convert to fraction form
    2,042.66/3,063.98 = 1,427.56/x
  3. Step 3: Cross multiply
    2,042.66x = 3,063.98 × 1,427.56
  4. Step 4: Simplify right side
    2,042.66x = 4,374,015.29
  5. Step 5: Solve for x
    x = 4,374,015.29/2,042.66
  6. Step 6: Final answer
    x = 2,141.33

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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.