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Finding the Fourth Proportional to 2,597.67, 3,896.20 and 649.73

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Solution

The fourth proportional to 2,597.67, 3,896.20 and 649.73 is: 974.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.67 : 3,896.20 = 649.73 : x
  2. Step 2: Convert to fraction form
    2,597.67/3,896.20 = 649.73/x
  3. Step 3: Cross multiply
    2,597.67x = 3,896.20 × 649.73
  4. Step 4: Simplify right side
    2,597.67x = 2,531,478.03
  5. Step 5: Solve for x
    x = 2,531,478.03/2,597.67
  6. Step 6: Final answer
    x = 974.52

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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.