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Finding the Fourth Proportional to 2,684.62, 3,704.76 and 1,505.68

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Solution

The fourth proportional to 2,684.62, 3,704.76 and 1,505.68 is: 2,077.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.62 : 3,704.76 = 1,505.68 : x
  2. Step 2: Convert to fraction form
    2,684.62/3,704.76 = 1,505.68/x
  3. Step 3: Cross multiply
    2,684.62x = 3,704.76 × 1,505.68
  4. Step 4: Simplify right side
    2,684.62x = 5,578,183.04
  5. Step 5: Solve for x
    x = 5,578,183.04/2,684.62
  6. Step 6: Final answer
    x = 2,077.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.