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Finding the Fourth Proportional to 1,709.23, 2,355.91 and 1,149.42

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Solution

The fourth proportional to 1,709.23, 2,355.91 and 1,149.42 is: 1,584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.23 : 2,355.91 = 1,149.42 : x
  2. Step 2: Convert to fraction form
    1,709.23/2,355.91 = 1,149.42/x
  3. Step 3: Cross multiply
    1,709.23x = 2,355.91 × 1,149.42
  4. Step 4: Simplify right side
    1,709.23x = 2,707,930.07
  5. Step 5: Solve for x
    x = 2,707,930.07/1,709.23
  6. Step 6: Final answer
    x = 1,584.30

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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.