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Finding the Fourth Proportional to 1,619.96, 2,250.23 and 1,594.82

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Solution

The fourth proportional to 1,619.96, 2,250.23 and 1,594.82 is: 2,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.96 : 2,250.23 = 1,594.82 : x
  2. Step 2: Convert to fraction form
    1,619.96/2,250.23 = 1,594.82/x
  3. Step 3: Cross multiply
    1,619.96x = 2,250.23 × 1,594.82
  4. Step 4: Simplify right side
    1,619.96x = 3,588,709.46
  5. Step 5: Solve for x
    x = 3,588,709.46/1,619.96
  6. Step 6: Final answer
    x = 2,215.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.