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Finding the Fourth Proportional to 3,042.38, 4,563.57 and 733.88

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Solution

The fourth proportional to 3,042.38, 4,563.57 and 733.88 is: 1,100.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.38 : 4,563.57 = 733.88 : x
  2. Step 2: Convert to fraction form
    3,042.38/4,563.57 = 733.88/x
  3. Step 3: Cross multiply
    3,042.38x = 4,563.57 × 733.88
  4. Step 4: Simplify right side
    3,042.38x = 3,349,086.26
  5. Step 5: Solve for x
    x = 3,349,086.26/3,042.38
  6. Step 6: Final answer
    x = 1,100.81

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1.5x scale

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.