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Finding the Fourth Proportional to 3,201.42, 4,798.89 and 1,532.55

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Solution

The fourth proportional to 3,201.42, 4,798.89 and 1,532.55 is: 2,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.42 : 4,798.89 = 1,532.55 : x
  2. Step 2: Convert to fraction form
    3,201.42/4,798.89 = 1,532.55/x
  3. Step 3: Cross multiply
    3,201.42x = 4,798.89 × 1,532.55
  4. Step 4: Simplify right side
    3,201.42x = 7,354,538.87
  5. Step 5: Solve for x
    x = 7,354,538.87/3,201.42
  6. Step 6: Final answer
    x = 2,297.27

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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.