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Finding the Fourth Proportional to 2,000.52, 3,000.96 and 768.24

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Solution

The fourth proportional to 2,000.52, 3,000.96 and 768.24 is: 1,152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.52 : 3,000.96 = 768.24 : x
  2. Step 2: Convert to fraction form
    2,000.52/3,000.96 = 768.24/x
  3. Step 3: Cross multiply
    2,000.52x = 3,000.96 × 768.24
  4. Step 4: Simplify right side
    2,000.52x = 2,305,457.51
  5. Step 5: Solve for x
    x = 2,305,457.51/2,000.52
  6. Step 6: Final answer
    x = 1,152.43

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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.