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Finding the Fourth Proportional to 2,033.64, 3,050.90 and 717.34

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Solution

The fourth proportional to 2,033.64, 3,050.90 and 717.34 is: 1,076.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.64 : 3,050.90 = 717.34 : x
  2. Step 2: Convert to fraction form
    2,033.64/3,050.90 = 717.34/x
  3. Step 3: Cross multiply
    2,033.64x = 3,050.90 × 717.34
  4. Step 4: Simplify right side
    2,033.64x = 2,188,529.80
  5. Step 5: Solve for x
    x = 2,188,529.80/2,033.64
  6. Step 6: Final answer
    x = 1,076.16

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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.