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Finding the Fourth Proportional to 3,188.75, 4,780.82 and 2,146.17

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Solution

The fourth proportional to 3,188.75, 4,780.82 and 2,146.17 is: 3,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.75 : 4,780.82 = 2,146.17 : x
  2. Step 2: Convert to fraction form
    3,188.75/4,780.82 = 2,146.17/x
  3. Step 3: Cross multiply
    3,188.75x = 4,780.82 × 2,146.17
  4. Step 4: Simplify right side
    3,188.75x = 10,260,457.82
  5. Step 5: Solve for x
    x = 10,260,457.82/3,188.75
  6. Step 6: Final answer
    x = 3,217.70

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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.