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Finding the Fourth Proportional to 2,302.28, 3,452.90 and 658.48

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Solution

The fourth proportional to 2,302.28, 3,452.90 and 658.48 is: 987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.28 : 3,452.90 = 658.48 : x
  2. Step 2: Convert to fraction form
    2,302.28/3,452.90 = 658.48/x
  3. Step 3: Cross multiply
    2,302.28x = 3,452.90 × 658.48
  4. Step 4: Simplify right side
    2,302.28x = 2,273,665.59
  5. Step 5: Solve for x
    x = 2,273,665.59/2,302.28
  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.