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Finding the Fourth Proportional to 3,007.25, 4,510.85 and 815.97

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Solution

The fourth proportional to 3,007.25, 4,510.85 and 815.97 is: 1,223.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.25 : 4,510.85 = 815.97 : x
  2. Step 2: Convert to fraction form
    3,007.25/4,510.85 = 815.97/x
  3. Step 3: Cross multiply
    3,007.25x = 4,510.85 × 815.97
  4. Step 4: Simplify right side
    3,007.25x = 3,680,718.27
  5. Step 5: Solve for x
    x = 3,680,718.27/3,007.25
  6. Step 6: Final answer
    x = 1,223.95

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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.