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Finding the Fourth Proportional to 2,188.29, 3,282.60 and 628.28

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Solution

The fourth proportional to 2,188.29, 3,282.60 and 628.28 is: 942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.29 : 3,282.60 = 628.28 : x
  2. Step 2: Convert to fraction form
    2,188.29/3,282.60 = 628.28/x
  3. Step 3: Cross multiply
    2,188.29x = 3,282.60 × 628.28
  4. Step 4: Simplify right side
    2,188.29x = 2,062,400.13
  5. Step 5: Solve for x
    x = 2,062,400.13/2,188.29
  6. Step 6: Final answer
    x = 942.47

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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.