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Finding the Fourth Proportional to 2,404.49, 3,606.29 and 649.62

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Solution

The fourth proportional to 2,404.49, 3,606.29 and 649.62 is: 974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.49 : 3,606.29 = 649.62 : x
  2. Step 2: Convert to fraction form
    2,404.49/3,606.29 = 649.62/x
  3. Step 3: Cross multiply
    2,404.49x = 3,606.29 × 649.62
  4. Step 4: Simplify right side
    2,404.49x = 2,342,717.30
  5. Step 5: Solve for x
    x = 2,342,717.30/2,404.49
  6. Step 6: Final answer
    x = 974.31

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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.