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Finding the Fourth Proportional to 2,293.29, 3,439.42 and 649.46

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Solution

The fourth proportional to 2,293.29, 3,439.42 and 649.46 is: 974.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.29 : 3,439.42 = 649.46 : x
  2. Step 2: Convert to fraction form
    2,293.29/3,439.42 = 649.46/x
  3. Step 3: Cross multiply
    2,293.29x = 3,439.42 × 649.46
  4. Step 4: Simplify right side
    2,293.29x = 2,233,765.71
  5. Step 5: Solve for x
    x = 2,233,765.71/2,293.29
  6. Step 6: Final answer
    x = 974.04

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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.