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Finding the Fourth Proportional to 2,028.34, 3,040.66 and 729.51

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Solution

The fourth proportional to 2,028.34, 3,040.66 and 729.51 is: 1,093.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.34 : 3,040.66 = 729.51 : x
  2. Step 2: Convert to fraction form
    2,028.34/3,040.66 = 729.51/x
  3. Step 3: Cross multiply
    2,028.34x = 3,040.66 × 729.51
  4. Step 4: Simplify right side
    2,028.34x = 2,218,191.88
  5. Step 5: Solve for x
    x = 2,218,191.88/2,028.34
  6. Step 6: Final answer
    x = 1,093.60

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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.