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Finding the Fourth Proportional to 2,513.82, 3,773.97 and 1,360.38

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Solution

The fourth proportional to 2,513.82, 3,773.97 and 1,360.38 is: 2,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.82 : 3,773.97 = 1,360.38 : x
  2. Step 2: Convert to fraction form
    2,513.82/3,773.97 = 1,360.38/x
  3. Step 3: Cross multiply
    2,513.82x = 3,773.97 × 1,360.38
  4. Step 4: Simplify right side
    2,513.82x = 5,134,033.31
  5. Step 5: Solve for x
    x = 5,134,033.31/2,513.82
  6. Step 6: Final answer
    x = 2,042.32

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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.