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Finding the Fourth Proportional to 3,007.70, 4,509.41 and 1,157.25

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Solution

The fourth proportional to 3,007.70, 4,509.41 and 1,157.25 is: 1,735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.70 : 4,509.41 = 1,157.25 : x
  2. Step 2: Convert to fraction form
    3,007.70/4,509.41 = 1,157.25/x
  3. Step 3: Cross multiply
    3,007.70x = 4,509.41 × 1,157.25
  4. Step 4: Simplify right side
    3,007.70x = 5,218,525.85
  5. Step 5: Solve for x
    x = 5,218,525.85/3,007.70
  6. Step 6: Final answer
    x = 1,735.06

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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.