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Finding the Fourth Proportional to 2,520.20, 3,780.96 and 765.16

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Solution

The fourth proportional to 2,520.20, 3,780.96 and 765.16 is: 1,147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.20 : 3,780.96 = 765.16 : x
  2. Step 2: Convert to fraction form
    2,520.20/3,780.96 = 765.16/x
  3. Step 3: Cross multiply
    2,520.20x = 3,780.96 × 765.16
  4. Step 4: Simplify right side
    2,520.20x = 2,893,039.35
  5. Step 5: Solve for x
    x = 2,893,039.35/2,520.20
  6. Step 6: Final answer
    x = 1,147.94

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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.