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Finding the Fourth Proportional to 1,828.46, 2,742.33 and 658.43

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Solution

The fourth proportional to 1,828.46, 2,742.33 and 658.43 is: 987.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.46 : 2,742.33 = 658.43 : x
  2. Step 2: Convert to fraction form
    1,828.46/2,742.33 = 658.43/x
  3. Step 3: Cross multiply
    1,828.46x = 2,742.33 × 658.43
  4. Step 4: Simplify right side
    1,828.46x = 1,805,632.34
  5. Step 5: Solve for x
    x = 1,805,632.34/1,828.46
  6. Step 6: Final answer
    x = 987.52

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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.