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Finding the Fourth Proportional to 3,137.73, 4,706.61 and 946.45

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Solution

The fourth proportional to 3,137.73, 4,706.61 and 946.45 is: 1,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.73 : 4,706.61 = 946.45 : x
  2. Step 2: Convert to fraction form
    3,137.73/4,706.61 = 946.45/x
  3. Step 3: Cross multiply
    3,137.73x = 4,706.61 × 946.45
  4. Step 4: Simplify right side
    3,137.73x = 4,454,571.03
  5. Step 5: Solve for x
    x = 4,454,571.03/3,137.73
  6. Step 6: Final answer
    x = 1,419.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.