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Finding the Fourth Proportional to 1,949.14, 2,923.70 and 488.28

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Solution

The fourth proportional to 1,949.14, 2,923.70 and 488.28 is: 732.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.14 : 2,923.70 = 488.28 : x
  2. Step 2: Convert to fraction form
    1,949.14/2,923.70 = 488.28/x
  3. Step 3: Cross multiply
    1,949.14x = 2,923.70 × 488.28
  4. Step 4: Simplify right side
    1,949.14x = 1,427,584.24
  5. Step 5: Solve for x
    x = 1,427,584.24/1,949.14
  6. Step 6: Final answer
    x = 732.42

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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.