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Finding the Fourth Proportional to 1,423.53, 1,951.91 and 1,283.09

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Solution

The fourth proportional to 1,423.53, 1,951.91 and 1,283.09 is: 1,759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.53 : 1,951.91 = 1,283.09 : x
  2. Step 2: Convert to fraction form
    1,423.53/1,951.91 = 1,283.09/x
  3. Step 3: Cross multiply
    1,423.53x = 1,951.91 × 1,283.09
  4. Step 4: Simplify right side
    1,423.53x = 2,504,460.03
  5. Step 5: Solve for x
    x = 2,504,460.03/1,423.53
  6. Step 6: Final answer
    x = 1,759.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.