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Finding the Fourth Proportional to 2,293.09, 3,439.93 and 649.60

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Solution

The fourth proportional to 2,293.09, 3,439.93 and 649.60 is: 974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.09 : 3,439.93 = 649.60 : x
  2. Step 2: Convert to fraction form
    2,293.09/3,439.93 = 649.60/x
  3. Step 3: Cross multiply
    2,293.09x = 3,439.93 × 649.60
  4. Step 4: Simplify right side
    2,293.09x = 2,234,578.53
  5. Step 5: Solve for x
    x = 2,234,578.53/2,293.09
  6. Step 6: Final answer
    x = 974.48

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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.