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Finding the Fourth Proportional to 1,729.35, 2,590.70 and 1,069.31

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Solution

The fourth proportional to 1,729.35, 2,590.70 and 1,069.31 is: 1,601.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.35 : 2,590.70 = 1,069.31 : x
  2. Step 2: Convert to fraction form
    1,729.35/2,590.70 = 1,069.31/x
  3. Step 3: Cross multiply
    1,729.35x = 2,590.70 × 1,069.31
  4. Step 4: Simplify right side
    1,729.35x = 2,770,243.12
  5. Step 5: Solve for x
    x = 2,770,243.12/1,729.35
  6. Step 6: Final answer
    x = 1,601.90

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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.