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Finding the Fourth Proportional to 2,597.60, 3,896.33 and 649.82

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Solution

The fourth proportional to 2,597.60, 3,896.33 and 649.82 is: 974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.60 : 3,896.33 = 649.82 : x
  2. Step 2: Convert to fraction form
    2,597.60/3,896.33 = 649.82/x
  3. Step 3: Cross multiply
    2,597.60x = 3,896.33 × 649.82
  4. Step 4: Simplify right side
    2,597.60x = 2,531,890.43
  5. Step 5: Solve for x
    x = 2,531,890.43/2,597.60
  6. Step 6: Final answer
    x = 974.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.