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Finding the Fourth Proportional to 3,273.84, 4,903.20 and 2,343.60

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Solution

The fourth proportional to 3,273.84, 4,903.20 and 2,343.60 is: 3,509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.84 : 4,903.20 = 2,343.60 : x
  2. Step 2: Convert to fraction form
    3,273.84/4,903.20 = 2,343.60/x
  3. Step 3: Cross multiply
    3,273.84x = 4,903.20 × 2,343.60
  4. Step 4: Simplify right side
    3,273.84x = 11,491,139.52
  5. Step 5: Solve for x
    x = 11,491,139.52/3,273.84
  6. Step 6: Final answer
    x = 3,509.99

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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.