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Finding the Fourth Proportional to 2,788.71, 4,183.46 and 841.06

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Solution

The fourth proportional to 2,788.71, 4,183.46 and 841.06 is: 1,261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.71 : 4,183.46 = 841.06 : x
  2. Step 2: Convert to fraction form
    2,788.71/4,183.46 = 841.06/x
  3. Step 3: Cross multiply
    2,788.71x = 4,183.46 × 841.06
  4. Step 4: Simplify right side
    2,788.71x = 3,518,540.87
  5. Step 5: Solve for x
    x = 3,518,540.87/2,788.71
  6. Step 6: Final answer
    x = 1,261.71

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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.