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Finding the Fourth Proportional to 1,427.68, 2,129.52 and 1,296.44

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Solution

The fourth proportional to 1,427.68, 2,129.52 and 1,296.44 is: 1,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.68 : 2,129.52 = 1,296.44 : x
  2. Step 2: Convert to fraction form
    1,427.68/2,129.52 = 1,296.44/x
  3. Step 3: Cross multiply
    1,427.68x = 2,129.52 × 1,296.44
  4. Step 4: Simplify right side
    1,427.68x = 2,760,794.91
  5. Step 5: Solve for x
    x = 2,760,794.91/1,427.68
  6. Step 6: Final answer
    x = 1,933.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.