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Finding the Fourth Proportional to 2,302.43, 3,453.48 and 658.80

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Solution

The fourth proportional to 2,302.43, 3,453.48 and 658.80 is: 988.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.43 : 3,453.48 = 658.80 : x
  2. Step 2: Convert to fraction form
    2,302.43/3,453.48 = 658.80/x
  3. Step 3: Cross multiply
    2,302.43x = 3,453.48 × 658.80
  4. Step 4: Simplify right side
    2,302.43x = 2,275,152.62
  5. Step 5: Solve for x
    x = 2,275,152.62/2,302.43
  6. Step 6: Final answer
    x = 988.15

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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.