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Finding the Fourth Proportional to 3,007.14, 4,510.07 and 1,157.61

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Solution

The fourth proportional to 3,007.14, 4,510.07 and 1,157.61 is: 1,736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.14 : 4,510.07 = 1,157.61 : x
  2. Step 2: Convert to fraction form
    3,007.14/4,510.07 = 1,157.61/x
  3. Step 3: Cross multiply
    3,007.14x = 4,510.07 × 1,157.61
  4. Step 4: Simplify right side
    3,007.14x = 5,220,896.34
  5. Step 5: Solve for x
    x = 5,220,896.34/3,007.14
  6. Step 6: Final answer
    x = 1,736.17

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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.