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Finding the Fourth Proportional to 1,682, 2,522.70 and 586.37

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Solution

The fourth proportional to 1,682, 2,522.70 and 586.37 is: 879.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682 : 2,522.70 = 586.37 : x
  2. Step 2: Convert to fraction form
    1,682/2,522.70 = 586.37/x
  3. Step 3: Cross multiply
    1,682x = 2,522.70 × 586.37
  4. Step 4: Simplify right side
    1,682x = 1,479,235.60
  5. Step 5: Solve for x
    x = 1,479,235.60/1,682
  6. Step 6: Final answer
    x = 879.45

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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.