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Finding the Fourth Proportional to 1,189.52, 1,640.93 and 923.49

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Solution

The fourth proportional to 1,189.52, 1,640.93 and 923.49 is: 1,273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.52 : 1,640.93 = 923.49 : x
  2. Step 2: Convert to fraction form
    1,189.52/1,640.93 = 923.49/x
  3. Step 3: Cross multiply
    1,189.52x = 1,640.93 × 923.49
  4. Step 4: Simplify right side
    1,189.52x = 1,515,393.70
  5. Step 5: Solve for x
    x = 1,515,393.70/1,189.52
  6. Step 6: Final answer
    x = 1,273.95

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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.