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Finding the Fourth Proportional to 1,310.90, 1,961.49 and 1,296.32

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Solution

The fourth proportional to 1,310.90, 1,961.49 and 1,296.32 is: 1,939.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.90 : 1,961.49 = 1,296.32 : x
  2. Step 2: Convert to fraction form
    1,310.90/1,961.49 = 1,296.32/x
  3. Step 3: Cross multiply
    1,310.90x = 1,961.49 × 1,296.32
  4. Step 4: Simplify right side
    1,310.90x = 2,542,718.72
  5. Step 5: Solve for x
    x = 2,542,718.72/1,310.90
  6. Step 6: Final answer
    x = 1,939.67

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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.