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Finding the Fourth Proportional to 2,946.70, 4,414.38 and 1,644.22

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Solution

The fourth proportional to 2,946.70, 4,414.38 and 1,644.22 is: 2,463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.70 : 4,414.38 = 1,644.22 : x
  2. Step 2: Convert to fraction form
    2,946.70/4,414.38 = 1,644.22/x
  3. Step 3: Cross multiply
    2,946.70x = 4,414.38 × 1,644.22
  4. Step 4: Simplify right side
    2,946.70x = 7,258,211.88
  5. Step 5: Solve for x
    x = 7,258,211.88/2,946.70
  6. Step 6: Final answer
    x = 2,463.17

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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.