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Finding the Fourth Proportional to 2,684.70, 3,704.89 and 1,505.77

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Solution

The fourth proportional to 2,684.70, 3,704.89 and 1,505.77 is: 2,077.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.70 : 3,704.89 = 1,505.77 : x
  2. Step 2: Convert to fraction form
    2,684.70/3,704.89 = 1,505.77/x
  3. Step 3: Cross multiply
    2,684.70x = 3,704.89 × 1,505.77
  4. Step 4: Simplify right side
    2,684.70x = 5,578,717.21
  5. Step 5: Solve for x
    x = 5,578,717.21/2,684.70
  6. Step 6: Final answer
    x = 2,077.97

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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.