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Finding the Fourth Proportional to 2,033.30, 3,050.16 and 552.55

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Solution

The fourth proportional to 2,033.30, 3,050.16 and 552.55 is: 828.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.30 : 3,050.16 = 552.55 : x
  2. Step 2: Convert to fraction form
    2,033.30/3,050.16 = 552.55/x
  3. Step 3: Cross multiply
    2,033.30x = 3,050.16 × 552.55
  4. Step 4: Simplify right side
    2,033.30x = 1,685,361.93
  5. Step 5: Solve for x
    x = 1,685,361.93/2,033.30
  6. Step 6: Final answer
    x = 828.88

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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.