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Finding the Fourth Proportional to 2,512.32, 3,770.56 and 1,280.64

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Solution

The fourth proportional to 2,512.32, 3,770.56 and 1,280.64 is: 1,922.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.32 : 3,770.56 = 1,280.64 : x
  2. Step 2: Convert to fraction form
    2,512.32/3,770.56 = 1,280.64/x
  3. Step 3: Cross multiply
    2,512.32x = 3,770.56 × 1,280.64
  4. Step 4: Simplify right side
    2,512.32x = 4,828,729.96
  5. Step 5: Solve for x
    x = 4,828,729.96/2,512.32
  6. Step 6: Final answer
    x = 1,922.02

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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.