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Finding the Fourth Proportional to 2,675.40, 4,012.77 and 727.14

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Solution

The fourth proportional to 2,675.40, 4,012.77 and 727.14 is: 1,090.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.40 : 4,012.77 = 727.14 : x
  2. Step 2: Convert to fraction form
    2,675.40/4,012.77 = 727.14/x
  3. Step 3: Cross multiply
    2,675.40x = 4,012.77 × 727.14
  4. Step 4: Simplify right side
    2,675.40x = 2,917,845.58
  5. Step 5: Solve for x
    x = 2,917,845.58/2,675.40
  6. Step 6: Final answer
    x = 1,090.62

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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.