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Finding the Fourth Proportional to 1,745.96, 2,614.14 and 1,280.21

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Solution

The fourth proportional to 1,745.96, 2,614.14 and 1,280.21 is: 1,916.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.96 : 2,614.14 = 1,280.21 : x
  2. Step 2: Convert to fraction form
    1,745.96/2,614.14 = 1,280.21/x
  3. Step 3: Cross multiply
    1,745.96x = 2,614.14 × 1,280.21
  4. Step 4: Simplify right side
    1,745.96x = 3,346,635.10
  5. Step 5: Solve for x
    x = 3,346,635.10/1,745.96
  6. Step 6: Final answer
    x = 1,916.79

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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.