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Finding the Fourth Proportional to 2,028.51, 3,040.93 and 729.67

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Solution

The fourth proportional to 2,028.51, 3,040.93 and 729.67 is: 1,093.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.51 : 3,040.93 = 729.67 : x
  2. Step 2: Convert to fraction form
    2,028.51/3,040.93 = 729.67/x
  3. Step 3: Cross multiply
    2,028.51x = 3,040.93 × 729.67
  4. Step 4: Simplify right side
    2,028.51x = 2,218,875.39
  5. Step 5: Solve for x
    x = 2,218,875.39/2,028.51
  6. Step 6: Final answer
    x = 1,093.84

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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.