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Finding the Fourth Proportional to 2,533.86, 3,801.15 and 994.50

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Solution

The fourth proportional to 2,533.86, 3,801.15 and 994.50 is: 1,491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.86 : 3,801.15 = 994.50 : x
  2. Step 2: Convert to fraction form
    2,533.86/3,801.15 = 994.50/x
  3. Step 3: Cross multiply
    2,533.86x = 3,801.15 × 994.50
  4. Step 4: Simplify right side
    2,533.86x = 3,780,243.68
  5. Step 5: Solve for x
    x = 3,780,243.68/2,533.86
  6. Step 6: Final answer
    x = 1,491.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.