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Finding the Fourth Proportional to 2,301.94, 3,453 and 658.34

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Solution

The fourth proportional to 2,301.94, 3,453 and 658.34 is: 987.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.94 : 3,453 = 658.34 : x
  2. Step 2: Convert to fraction form
    2,301.94/3,453 = 658.34/x
  3. Step 3: Cross multiply
    2,301.94x = 3,453 × 658.34
  4. Step 4: Simplify right side
    2,301.94x = 2,273,248.02
  5. Step 5: Solve for x
    x = 2,273,248.02/2,301.94
  6. Step 6: Final answer
    x = 987.54

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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.