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Finding the Fourth Proportional to 2,187.96, 3,283.66 and 890.34

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Solution

The fourth proportional to 2,187.96, 3,283.66 and 890.34 is: 1,336.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.96 : 3,283.66 = 890.34 : x
  2. Step 2: Convert to fraction form
    2,187.96/3,283.66 = 890.34/x
  3. Step 3: Cross multiply
    2,187.96x = 3,283.66 × 890.34
  4. Step 4: Simplify right side
    2,187.96x = 2,923,573.84
  5. Step 5: Solve for x
    x = 2,923,573.84/2,187.96
  6. Step 6: Final answer
    x = 1,336.21

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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.