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Finding the Fourth Proportional to 2,301.75, 3,452.31 and 658.44

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Solution

The fourth proportional to 2,301.75, 3,452.31 and 658.44 is: 987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.75 : 3,452.31 = 658.44 : x
  2. Step 2: Convert to fraction form
    2,301.75/3,452.31 = 658.44/x
  3. Step 3: Cross multiply
    2,301.75x = 3,452.31 × 658.44
  4. Step 4: Simplify right side
    2,301.75x = 2,273,139.00
  5. Step 5: Solve for x
    x = 2,273,139.00/2,301.75
  6. Step 6: Final answer
    x = 987.57

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1.5x scale

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.