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Finding the Fourth Proportional to 1,739.23, 2,608.84 and 642.31

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Solution

The fourth proportional to 1,739.23, 2,608.84 and 642.31 is: 963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.23 : 2,608.84 = 642.31 : x
  2. Step 2: Convert to fraction form
    1,739.23/2,608.84 = 642.31/x
  3. Step 3: Cross multiply
    1,739.23x = 2,608.84 × 642.31
  4. Step 4: Simplify right side
    1,739.23x = 1,675,692.98
  5. Step 5: Solve for x
    x = 1,675,692.98/1,739.23
  6. Step 6: Final answer
    x = 963.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.