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Finding the Fourth Proportional to 3,007.04, 4,509.60 and 1,274.56

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Solution

The fourth proportional to 3,007.04, 4,509.60 and 1,274.56 is: 1,911.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.04 : 4,509.60 = 1,274.56 : x
  2. Step 2: Convert to fraction form
    3,007.04/4,509.60 = 1,274.56/x
  3. Step 3: Cross multiply
    3,007.04x = 4,509.60 × 1,274.56
  4. Step 4: Simplify right side
    3,007.04x = 5,747,755.78
  5. Step 5: Solve for x
    x = 5,747,755.78/3,007.04
  6. Step 6: Final answer
    x = 1,911.43

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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.