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Finding the Fourth Proportional to 1,911.47, 2,861.67 and 984.83

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Solution

The fourth proportional to 1,911.47, 2,861.67 and 984.83 is: 1,474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.47 : 2,861.67 = 984.83 : x
  2. Step 2: Convert to fraction form
    1,911.47/2,861.67 = 984.83/x
  3. Step 3: Cross multiply
    1,911.47x = 2,861.67 × 984.83
  4. Step 4: Simplify right side
    1,911.47x = 2,818,258.47
  5. Step 5: Solve for x
    x = 2,818,258.47/1,911.47
  6. Step 6: Final answer
    x = 1,474.39

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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.