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Finding the Fourth Proportional to 2,512.60, 3,763.98 and 1,644.28

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Solution

The fourth proportional to 2,512.60, 3,763.98 and 1,644.28 is: 2,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.60 : 3,763.98 = 1,644.28 : x
  2. Step 2: Convert to fraction form
    2,512.60/3,763.98 = 1,644.28/x
  3. Step 3: Cross multiply
    2,512.60x = 3,763.98 × 1,644.28
  4. Step 4: Simplify right side
    2,512.60x = 6,189,037.03
  5. Step 5: Solve for x
    x = 6,189,037.03/2,512.60
  6. Step 6: Final answer
    x = 2,463.20

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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.