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Finding the Fourth Proportional to 2,003.52, 3,004.02 and 1,028.28

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Solution

The fourth proportional to 2,003.52, 3,004.02 and 1,028.28 is: 1,541.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.52 : 3,004.02 = 1,028.28 : x
  2. Step 2: Convert to fraction form
    2,003.52/3,004.02 = 1,028.28/x
  3. Step 3: Cross multiply
    2,003.52x = 3,004.02 × 1,028.28
  4. Step 4: Simplify right side
    2,003.52x = 3,088,973.69
  5. Step 5: Solve for x
    x = 3,088,973.69/2,003.52
  6. Step 6: Final answer
    x = 1,541.77

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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.