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Finding the Fourth Proportional to 2,002.26, 3,005.10 and 1,028.88

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Solution

The fourth proportional to 2,002.26, 3,005.10 and 1,028.88 is: 1,544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.26 : 3,005.10 = 1,028.88 : x
  2. Step 2: Convert to fraction form
    2,002.26/3,005.10 = 1,028.88/x
  3. Step 3: Cross multiply
    2,002.26x = 3,005.10 × 1,028.88
  4. Step 4: Simplify right side
    2,002.26x = 3,091,887.29
  5. Step 5: Solve for x
    x = 3,091,887.29/2,002.26
  6. Step 6: Final answer
    x = 1,544.20

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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.