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Finding the Fourth Proportional to 2,028.80, 3,040.76 and 931.64

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Solution

The fourth proportional to 2,028.80, 3,040.76 and 931.64 is: 1,396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.80 : 3,040.76 = 931.64 : x
  2. Step 2: Convert to fraction form
    2,028.80/3,040.76 = 931.64/x
  3. Step 3: Cross multiply
    2,028.80x = 3,040.76 × 931.64
  4. Step 4: Simplify right side
    2,028.80x = 2,832,893.65
  5. Step 5: Solve for x
    x = 2,832,893.65/2,028.80
  6. Step 6: Final answer
    x = 1,396.34

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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.