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Finding the Fourth Proportional to 1,828.50, 2,742.45 and 658.27

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Solution

The fourth proportional to 1,828.50, 2,742.45 and 658.27 is: 987.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.50 : 2,742.45 = 658.27 : x
  2. Step 2: Convert to fraction form
    1,828.50/2,742.45 = 658.27/x
  3. Step 3: Cross multiply
    1,828.50x = 2,742.45 × 658.27
  4. Step 4: Simplify right side
    1,828.50x = 1,805,255.56
  5. Step 5: Solve for x
    x = 1,805,255.56/1,828.50
  6. Step 6: Final answer
    x = 987.29

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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.