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Finding the Fourth Proportional to 1,682.14, 2,523.21 and 586.24

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Solution

The fourth proportional to 1,682.14, 2,523.21 and 586.24 is: 879.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.14 : 2,523.21 = 586.24 : x
  2. Step 2: Convert to fraction form
    1,682.14/2,523.21 = 586.24/x
  3. Step 3: Cross multiply
    1,682.14x = 2,523.21 × 586.24
  4. Step 4: Simplify right side
    1,682.14x = 1,479,191.08
  5. Step 5: Solve for x
    x = 1,479,191.08/1,682.14
  6. Step 6: Final answer
    x = 879.35

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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.