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Finding the Fourth Proportional to 2,729.68, 4,091.28 and 1,573.04

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Solution

The fourth proportional to 2,729.68, 4,091.28 and 1,573.04 is: 2,357.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.68 : 4,091.28 = 1,573.04 : x
  2. Step 2: Convert to fraction form
    2,729.68/4,091.28 = 1,573.04/x
  3. Step 3: Cross multiply
    2,729.68x = 4,091.28 × 1,573.04
  4. Step 4: Simplify right side
    2,729.68x = 6,435,747.09
  5. Step 5: Solve for x
    x = 6,435,747.09/2,729.68
  6. Step 6: Final answer
    x = 2,357.69

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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.