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Finding the Fourth Proportional to 2,188.58, 3,282.11 and 628.16

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Solution

The fourth proportional to 2,188.58, 3,282.11 and 628.16 is: 942.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.58 : 3,282.11 = 628.16 : x
  2. Step 2: Convert to fraction form
    2,188.58/3,282.11 = 628.16/x
  3. Step 3: Cross multiply
    2,188.58x = 3,282.11 × 628.16
  4. Step 4: Simplify right side
    2,188.58x = 2,061,670.67
  5. Step 5: Solve for x
    x = 2,061,670.67/2,188.58
  6. Step 6: Final answer
    x = 942.02

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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.