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Finding the Fourth Proportional to 1,682.13, 2,523.50 and 571.65

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Solution

The fourth proportional to 1,682.13, 2,523.50 and 571.65 is: 857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.13 : 2,523.50 = 571.65 : x
  2. Step 2: Convert to fraction form
    1,682.13/2,523.50 = 571.65/x
  3. Step 3: Cross multiply
    1,682.13x = 2,523.50 × 571.65
  4. Step 4: Simplify right side
    1,682.13x = 1,442,555.92
  5. Step 5: Solve for x
    x = 1,442,555.92/1,682.13
  6. Step 6: Final answer
    x = 857.58

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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.