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Finding the Fourth Proportional to 2,033.04, 3,049.56 and 646.32

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Solution

The fourth proportional to 2,033.04, 3,049.56 and 646.32 is: 969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.04 : 3,049.56 = 646.32 : x
  2. Step 2: Convert to fraction form
    2,033.04/3,049.56 = 646.32/x
  3. Step 3: Cross multiply
    2,033.04x = 3,049.56 × 646.32
  4. Step 4: Simplify right side
    2,033.04x = 1,970,991.62
  5. Step 5: Solve for x
    x = 1,970,991.62/2,033.04
  6. Step 6: Final answer
    x = 969.48

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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.