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Finding the Fourth Proportional to 1,306.54, 1,791.34 and 1,283.15

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Solution

The fourth proportional to 1,306.54, 1,791.34 and 1,283.15 is: 1,759.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.54 : 1,791.34 = 1,283.15 : x
  2. Step 2: Convert to fraction form
    1,306.54/1,791.34 = 1,283.15/x
  3. Step 3: Cross multiply
    1,306.54x = 1,791.34 × 1,283.15
  4. Step 4: Simplify right side
    1,306.54x = 2,298,559.19
  5. Step 5: Solve for x
    x = 2,298,559.19/1,306.54
  6. Step 6: Final answer
    x = 1,759.27

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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.