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Finding the Fourth Proportional to 2,758.86, 4,138.40 and 1,296.99

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Solution

The fourth proportional to 2,758.86, 4,138.40 and 1,296.99 is: 1,945.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.86 : 4,138.40 = 1,296.99 : x
  2. Step 2: Convert to fraction form
    2,758.86/4,138.40 = 1,296.99/x
  3. Step 3: Cross multiply
    2,758.86x = 4,138.40 × 1,296.99
  4. Step 4: Simplify right side
    2,758.86x = 5,367,466.66
  5. Step 5: Solve for x
    x = 5,367,466.66/2,758.86
  6. Step 6: Final answer
    x = 1,945.54

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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.