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Finding the Fourth Proportional to 1,629.14, 2,247.82 and 920.99

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Solution

The fourth proportional to 1,629.14, 2,247.82 and 920.99 is: 1,270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.14 : 2,247.82 = 920.99 : x
  2. Step 2: Convert to fraction form
    1,629.14/2,247.82 = 920.99/x
  3. Step 3: Cross multiply
    1,629.14x = 2,247.82 × 920.99
  4. Step 4: Simplify right side
    1,629.14x = 2,070,223.06
  5. Step 5: Solve for x
    x = 2,070,223.06/1,629.14
  6. Step 6: Final answer
    x = 1,270.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.