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Finding the Fourth Proportional to 1,682.62, 2,524.26 and 587.02

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Solution

The fourth proportional to 1,682.62, 2,524.26 and 587.02 is: 880.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.62 : 2,524.26 = 587.02 : x
  2. Step 2: Convert to fraction form
    1,682.62/2,524.26 = 587.02/x
  3. Step 3: Cross multiply
    1,682.62x = 2,524.26 × 587.02
  4. Step 4: Simplify right side
    1,682.62x = 1,481,791.11
  5. Step 5: Solve for x
    x = 1,481,791.11/1,682.62
  6. Step 6: Final answer
    x = 880.65

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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.