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Finding the Fourth Proportional to 2,764, 3,814.60 and 1,584.96

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Solution

The fourth proportional to 2,764, 3,814.60 and 1,584.96 is: 2,187.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764 : 3,814.60 = 1,584.96 : x
  2. Step 2: Convert to fraction form
    2,764/3,814.60 = 1,584.96/x
  3. Step 3: Cross multiply
    2,764x = 3,814.60 × 1,584.96
  4. Step 4: Simplify right side
    2,764x = 6,045,988.42
  5. Step 5: Solve for x
    x = 6,045,988.42/2,764
  6. Step 6: Final answer
    x = 2,187.41

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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.