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Finding the Fourth Proportional to 1,890.54, 2,833.34 and 965.31

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Solution

The fourth proportional to 1,890.54, 2,833.34 and 965.31 is: 1,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.54 : 2,833.34 = 965.31 : x
  2. Step 2: Convert to fraction form
    1,890.54/2,833.34 = 965.31/x
  3. Step 3: Cross multiply
    1,890.54x = 2,833.34 × 965.31
  4. Step 4: Simplify right side
    1,890.54x = 2,735,046.61
  5. Step 5: Solve for x
    x = 2,735,046.61/1,890.54
  6. Step 6: Final answer
    x = 1,446.70

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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.