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Finding the Fourth Proportional to 2,520.29, 3,780.63 and 788.92

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Solution

The fourth proportional to 2,520.29, 3,780.63 and 788.92 is: 1,183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.29 : 3,780.63 = 788.92 : x
  2. Step 2: Convert to fraction form
    2,520.29/3,780.63 = 788.92/x
  3. Step 3: Cross multiply
    2,520.29x = 3,780.63 × 788.92
  4. Step 4: Simplify right side
    2,520.29x = 2,982,605.17
  5. Step 5: Solve for x
    x = 2,982,605.17/2,520.29
  6. Step 6: Final answer
    x = 1,183.44

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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.