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Finding the Fourth Proportional to 3,293.76, 4,543.20 and 2,049.60

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Solution

The fourth proportional to 3,293.76, 4,543.20 and 2,049.60 is: 2,827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.76 : 4,543.20 = 2,049.60 : x
  2. Step 2: Convert to fraction form
    3,293.76/4,543.20 = 2,049.60/x
  3. Step 3: Cross multiply
    3,293.76x = 4,543.20 × 2,049.60
  4. Step 4: Simplify right side
    3,293.76x = 9,311,742.72
  5. Step 5: Solve for x
    x = 9,311,742.72/3,293.76
  6. Step 6: Final answer
    x = 2,827.09

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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.