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Finding the Fourth Proportional to 2,640.96, 3,644.19 and 1,461.83

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Solution

The fourth proportional to 2,640.96, 3,644.19 and 1,461.83 is: 2,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.96 : 3,644.19 = 1,461.83 : x
  2. Step 2: Convert to fraction form
    2,640.96/3,644.19 = 1,461.83/x
  3. Step 3: Cross multiply
    2,640.96x = 3,644.19 × 1,461.83
  4. Step 4: Simplify right side
    2,640.96x = 5,327,168.05
  5. Step 5: Solve for x
    x = 5,327,168.05/2,640.96
  6. Step 6: Final answer
    x = 2,017.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.