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Finding the Fourth Proportional to 3,219.67, 4,829.46 and 911.17

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Solution

The fourth proportional to 3,219.67, 4,829.46 and 911.17 is: 1,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.67 : 4,829.46 = 911.17 : x
  2. Step 2: Convert to fraction form
    3,219.67/4,829.46 = 911.17/x
  3. Step 3: Cross multiply
    3,219.67x = 4,829.46 × 911.17
  4. Step 4: Simplify right side
    3,219.67x = 4,400,459.07
  5. Step 5: Solve for x
    x = 4,400,459.07/3,219.67
  6. Step 6: Final answer
    x = 1,366.74

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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.