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Finding the Fourth Proportional to 2,544.02, 3,512.08 and 1,649.04

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Solution

The fourth proportional to 2,544.02, 3,512.08 and 1,649.04 is: 2,276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.02 : 3,512.08 = 1,649.04 : x
  2. Step 2: Convert to fraction form
    2,544.02/3,512.08 = 1,649.04/x
  3. Step 3: Cross multiply
    2,544.02x = 3,512.08 × 1,649.04
  4. Step 4: Simplify right side
    2,544.02x = 5,791,560.40
  5. Step 5: Solve for x
    x = 5,791,560.40/2,544.02
  6. Step 6: Final answer
    x = 2,276.54

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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.