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Finding the Fourth Proportional to 2,782.02, 4,174.65 and 1,028.23

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Solution

The fourth proportional to 2,782.02, 4,174.65 and 1,028.23 is: 1,542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.02 : 4,174.65 = 1,028.23 : x
  2. Step 2: Convert to fraction form
    2,782.02/4,174.65 = 1,028.23/x
  3. Step 3: Cross multiply
    2,782.02x = 4,174.65 × 1,028.23
  4. Step 4: Simplify right side
    2,782.02x = 4,292,500.37
  5. Step 5: Solve for x
    x = 4,292,500.37/2,782.02
  6. Step 6: Final answer
    x = 1,542.94

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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.