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Finding the Fourth Proportional to 1,960.59, 2,703.42 and 1,539.57

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Solution

The fourth proportional to 1,960.59, 2,703.42 and 1,539.57 is: 2,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.59 : 2,703.42 = 1,539.57 : x
  2. Step 2: Convert to fraction form
    1,960.59/2,703.42 = 1,539.57/x
  3. Step 3: Cross multiply
    1,960.59x = 2,703.42 × 1,539.57
  4. Step 4: Simplify right side
    1,960.59x = 4,162,104.33
  5. Step 5: Solve for x
    x = 4,162,104.33/1,960.59
  6. Step 6: Final answer
    x = 2,122.88

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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.