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Finding the Fourth Proportional to 2,380.69, 3,571.13 and 649.31

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Solution

The fourth proportional to 2,380.69, 3,571.13 and 649.31 is: 973.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.69 : 3,571.13 = 649.31 : x
  2. Step 2: Convert to fraction form
    2,380.69/3,571.13 = 649.31/x
  3. Step 3: Cross multiply
    2,380.69x = 3,571.13 × 649.31
  4. Step 4: Simplify right side
    2,380.69x = 2,318,770.42
  5. Step 5: Solve for x
    x = 2,318,770.42/2,380.69
  6. Step 6: Final answer
    x = 973.99

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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.