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Finding the Fourth Proportional to 2,677.14, 4,015.41 and 729.18

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Solution

The fourth proportional to 2,677.14, 4,015.41 and 729.18 is: 1,093.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.14 : 4,015.41 = 729.18 : x
  2. Step 2: Convert to fraction form
    2,677.14/4,015.41 = 729.18/x
  3. Step 3: Cross multiply
    2,677.14x = 4,015.41 × 729.18
  4. Step 4: Simplify right side
    2,677.14x = 2,927,956.66
  5. Step 5: Solve for x
    x = 2,927,956.66/2,677.14
  6. Step 6: Final answer
    x = 1,093.69

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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.