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Finding the Fourth Proportional to 2,640.76, 3,644.28 and 1,461.88

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Solution

The fourth proportional to 2,640.76, 3,644.28 and 1,461.88 is: 2,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.76 : 3,644.28 = 1,461.88 : x
  2. Step 2: Convert to fraction form
    2,640.76/3,644.28 = 1,461.88/x
  3. Step 3: Cross multiply
    2,640.76x = 3,644.28 × 1,461.88
  4. Step 4: Simplify right side
    2,640.76x = 5,327,500.05
  5. Step 5: Solve for x
    x = 5,327,500.05/2,640.76
  6. Step 6: Final answer
    x = 2,017.41

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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.