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Finding the Fourth Proportional to 2,185.56, 3,280.68 and 1,033.68

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Solution

The fourth proportional to 2,185.56, 3,280.68 and 1,033.68 is: 1,551.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.56 : 3,280.68 = 1,033.68 : x
  2. Step 2: Convert to fraction form
    2,185.56/3,280.68 = 1,033.68/x
  3. Step 3: Cross multiply
    2,185.56x = 3,280.68 × 1,033.68
  4. Step 4: Simplify right side
    2,185.56x = 3,391,173.30
  5. Step 5: Solve for x
    x = 3,391,173.30/2,185.56
  6. Step 6: Final answer
    x = 1,551.63

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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.