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Finding the Fourth Proportional to 3,007.57, 4,150.09 and 1,663.10

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Solution

The fourth proportional to 3,007.57, 4,150.09 and 1,663.10 is: 2,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.57 : 4,150.09 = 1,663.10 : x
  2. Step 2: Convert to fraction form
    3,007.57/4,150.09 = 1,663.10/x
  3. Step 3: Cross multiply
    3,007.57x = 4,150.09 × 1,663.10
  4. Step 4: Simplify right side
    3,007.57x = 6,902,014.68
  5. Step 5: Solve for x
    x = 6,902,014.68/3,007.57
  6. Step 6: Final answer
    x = 2,294.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.