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Finding the Fourth Proportional to 2,023.05, 3,033.08 and 635.60

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Solution

The fourth proportional to 2,023.05, 3,033.08 and 635.60 is: 952.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.05 : 3,033.08 = 635.60 : x
  2. Step 2: Convert to fraction form
    2,023.05/3,033.08 = 635.60/x
  3. Step 3: Cross multiply
    2,023.05x = 3,033.08 × 635.60
  4. Step 4: Simplify right side
    2,023.05x = 1,927,807.30
  5. Step 5: Solve for x
    x = 1,927,807.30/2,023.05
  6. Step 6: Final answer
    x = 952.92

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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.