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Finding the Fourth Proportional to 2,073.44, 3,113.22 and 1,296.76

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Solution

The fourth proportional to 2,073.44, 3,113.22 and 1,296.76 is: 1,947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.44 : 3,113.22 = 1,296.76 : x
  2. Step 2: Convert to fraction form
    2,073.44/3,113.22 = 1,296.76/x
  3. Step 3: Cross multiply
    2,073.44x = 3,113.22 × 1,296.76
  4. Step 4: Simplify right side
    2,073.44x = 4,037,099.17
  5. Step 5: Solve for x
    x = 4,037,099.17/2,073.44
  6. Step 6: Final answer
    x = 1,947.05

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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.