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Finding the Fourth Proportional to 1,682.93, 2,524.44 and 642.80

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Solution

The fourth proportional to 1,682.93, 2,524.44 and 642.80 is: 964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.93 : 2,524.44 = 642.80 : x
  2. Step 2: Convert to fraction form
    1,682.93/2,524.44 = 642.80/x
  3. Step 3: Cross multiply
    1,682.93x = 2,524.44 × 642.80
  4. Step 4: Simplify right side
    1,682.93x = 1,622,710.03
  5. Step 5: Solve for x
    x = 1,622,710.03/1,682.93
  6. Step 6: Final answer
    x = 964.22

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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.