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Finding the Fourth Proportional to 2,996.73, 4,491.05 and 1,533.87

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Solution

The fourth proportional to 2,996.73, 4,491.05 and 1,533.87 is: 2,298.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.73 : 4,491.05 = 1,533.87 : x
  2. Step 2: Convert to fraction form
    2,996.73/4,491.05 = 1,533.87/x
  3. Step 3: Cross multiply
    2,996.73x = 4,491.05 × 1,533.87
  4. Step 4: Simplify right side
    2,996.73x = 6,888,679.19
  5. Step 5: Solve for x
    x = 6,888,679.19/2,996.73
  6. Step 6: Final answer
    x = 2,298.73

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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.