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Finding the Fourth Proportional to 2,028.02, 3,041.67 and 711.95

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Solution

The fourth proportional to 2,028.02, 3,041.67 and 711.95 is: 1,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.02 : 3,041.67 = 711.95 : x
  2. Step 2: Convert to fraction form
    2,028.02/3,041.67 = 711.95/x
  3. Step 3: Cross multiply
    2,028.02x = 3,041.67 × 711.95
  4. Step 4: Simplify right side
    2,028.02x = 2,165,516.96
  5. Step 5: Solve for x
    x = 2,165,516.96/2,028.02
  6. Step 6: Final answer
    x = 1,067.80

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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.