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Finding the Fourth Proportional to 2,520.70, 3,780.92 and 765.62

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Solution

The fourth proportional to 2,520.70, 3,780.92 and 765.62 is: 1,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.70 : 3,780.92 = 765.62 : x
  2. Step 2: Convert to fraction form
    2,520.70/3,780.92 = 765.62/x
  3. Step 3: Cross multiply
    2,520.70x = 3,780.92 × 765.62
  4. Step 4: Simplify right side
    2,520.70x = 2,894,747.97
  5. Step 5: Solve for x
    x = 2,894,747.97/2,520.70
  6. Step 6: Final answer
    x = 1,148.39

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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.